Florida Algebra 1 End-of-Course Assessment Item Bank, Polk ...
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk ...
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk ...
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<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.2.3; Describe the concept <strong>of</strong> a function, use function notation, determine<br />
whether a given relation is a function, and link equations to functions.<br />
‣ Also assesses MA.912.A.2.13; Solve real-world problems involving relations and functions.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
What equation models the data in the table if d = number <strong>of</strong> days and c = cost?<br />
Days<br />
Cost<br />
2 44<br />
3 66<br />
5 110<br />
6 132<br />
A. d = 22c B. c = 22d C. c = d + 22d D. c = d + 22<br />
Problem 4:<br />
You can use the formula<br />
to convert temperature in degrees Fahrenheit, F, to temperature in<br />
degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.<br />
A. 30 degrees Celsius<br />
B. 16.7 degrees Celsius<br />
C. 52.2 degrees Celsius<br />
D. 2.4 degrees Celsius<br />
Problem 5:<br />
If
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.2.4; Determine the domain and range <strong>of</strong> a relation.<br />
‣ Also assesses MA.912.A.2.13 Solve real-world problems involving relations and functions.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.1; Solve linear equations in one variable that include simplifying algebraic<br />
expressions.<br />
‣ Also assesses MA.912.A.3.2; Indentify and apply the distributive associative, and commutative<br />
properties <strong>of</strong> real numbers and the properties <strong>of</strong> equality.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:<br />
Solve the problem.<br />
3x – 1 = 5 (x – 1) – 2 (7 – 2x)<br />
A. 3 B. 0 C. -9 D. -10
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.3; Solve literal equations for a specified variable.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:<br />
A. p = (1/4) (q + 11)<br />
B. p = q/4 + 11<br />
C. p = (q-11)/4<br />
D. p = q/4 - 11
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.4; Solve and graph simple and compound inequalities in one variable and be<br />
able to justify each step in a solution.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:<br />
Solve the inequality for x: (3/5)x ≤ 10 + (1/5)x<br />
A. x ≤ 25<br />
B. x ≤ 4<br />
C. x ≥ 25<br />
D. x ≥ 4
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.5; Symbolically represent and solve multi-step and real-world applications that<br />
involve linear equations and inequalities.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:<br />
A. 4 = (r + c) 1.5<br />
B. 4 = (r - c) 1.5<br />
C. 1.5 = (r + c) 4<br />
D. 1.5 = (r - c)4<br />
Problem 5:<br />
Working together, Paul and Daniel can pick forty bushels <strong>of</strong> apples in 4.95 hours. Had he done it alone, it<br />
would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.8; Graph a line given any <strong>of</strong> the following information: a table <strong>of</strong> values, the x-<br />
and y-intercepts, two points, the slope and a point, the equation <strong>of</strong> the line in slope-intercept form,<br />
standard form, or point-slope form.<br />
‣ Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and<br />
without graphing technology. Write an equation or inequality represented by a given graph.<br />
Problem 1:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Which <strong>of</strong> the following is a graph <strong>of</strong> the equation 2x + y = 4?<br />
A. B.<br />
C. D.
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.9; Determine the slope, x-intercept, and y-intercept <strong>of</strong> a line given its graph, its<br />
equation, or two points on the line.<br />
‣ Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and<br />
without graphing technology. Write an equation or inequality represented by a given graph.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Determine the slope <strong>of</strong> the given line.<br />
A. -1/2<br />
B. 2/1<br />
C. -2/1<br />
D. 1/2<br />
Problem 4:<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.10; Write an equation <strong>of</strong> a line given any <strong>of</strong> the following information: two<br />
points on the line, its slope and one point on the line, or its graph. Also, find an equation <strong>of</strong> a new line<br />
parallel to a given line, or perpendicular to a given line, through a given point on the new line.<br />
‣ Also assesses<br />
Problem 1:<br />
• MA.912.A.3.7; Rewrite equations <strong>of</strong> a line into slope-intercept form and standard<br />
form.<br />
• MA.912.A.3.12; Graph a linear equation or inequality in two variables with and<br />
without graphing technology. Write an equation <strong>of</strong> inequality represented by a<br />
given graph.<br />
• MA.912.A.G.1.4; Use coordinate geometry to find slopes, parallel lines,<br />
perpendicular lines and equations <strong>of</strong> lines
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 2:<br />
Problem 3:<br />
What is the slope-intercept form <strong>of</strong> the line that passes through (6,-7) and is perpendicular to the line<br />
shown?<br />
A. y = 2x + 3<br />
B. y = 4x -1.5<br />
C. y = (1/2) x + 4<br />
D. y = (-1/2) x - 4
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
.<br />
A. y = -2x + 12<br />
B. y = 2x - 8<br />
C. y = 8x - 2<br />
D. y = - 2x + 8<br />
Problem 5:<br />
A. y = 3x<br />
B. y = -3x<br />
C. y = (1/3)x<br />
D. y = (-1/3)x
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.11; Write an equation <strong>of</strong> a line that models a data set, and use the equation or<br />
the graph to make predictions. Describe the slope <strong>of</strong> the line in terms <strong>of</strong> the data, recognizing that the<br />
slope is the rate <strong>of</strong> change.<br />
‣ Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and<br />
without graphing technology. Write an equation or inequality represented by a given graph.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.3.14; Solve systems <strong>of</strong> linear equations and inequalities in two and three<br />
variables using graphical, substitution, and elimination methods.<br />
‣ Also assesses<br />
• MA.912.A.3.13; Use a graph to approximate the solution <strong>of</strong> a system <strong>of</strong> linear<br />
equations or inequalities in two variables with and without technology.<br />
• MA.912.A. 3.15; Solve real-world problems involving systems <strong>of</strong> linear equations<br />
and inequalities in two and three variables.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:<br />
What is the value <strong>of</strong> y in the ordered pair that is the solution for the system?
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.4.1; Simplify monomials and monomial expressions using the laws <strong>of</strong> integral<br />
exponents.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:<br />
Problem 4:<br />
What is the coefficient <strong>of</strong> the simplified expression below?
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 5:<br />
Simplify. Write the exponent <strong>of</strong> the y in the simplified answer.<br />
A. 7<br />
B. 3<br />
C. 1<br />
D. -3
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.4.2; Add, subtract, and multiply polynomials.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:<br />
Problem 5:<br />
A. 5x 2 - 3x - 3<br />
B. 3x 2 - 3x - 3<br />
C. 3x 2 - 11x + 7<br />
D. 4x 2 - 11x + 7
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.4.3; Factor polynomial expressions.<br />
‣ Also assesses MA.912.A.5.1; Simplify algebraic ratios.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:<br />
A. (2x + 5)(2x + 5)<br />
B. (2x + 5)(2x - 5)<br />
C. (2x - 5)(2x - 5)<br />
D. (4x -1)(x + 25)
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.4.4; Divide polynomials by monomials and polynomials with various techniques,<br />
including synthetic division.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:<br />
The area <strong>of</strong> the rectangle below can be shown by the expression (16x + 4y) square feet. If the width <strong>of</strong> the<br />
rectangle is 4 feet, what is the length <strong>of</strong> the rectangle?<br />
A. (12x + 1y) B. (4x + y) C.4x + 4y D. 16x + 1y
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
The perimeter <strong>of</strong> the square below can be show by the expression below. What is the length <strong>of</strong> each side <strong>of</strong><br />
the square?<br />
A. 3x 2 + 6x B. 8x 2 + 20x C. 3x 2 + 24x D. 12x 2 + 6x<br />
Problem 5:<br />
A contractor built a basement for a new home. The volume <strong>of</strong> the<br />
rectangular basement shown at the right is represented by the<br />
expression 3x 3 + 6x 2 - 30x. If the height <strong>of</strong> the basement is 3x,<br />
what is the area <strong>of</strong> the base?<br />
A. x 3 + 2x 2 -10 B. x 4 +2x 3 - 10 C. x 2 + 2x -10 D. 9x 4 + 18x 3 - 90x 2
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.5.4; Solve algebraic proportions.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 5:<br />
Solve.<br />
A.1.5 B. -1.5 C. 3 D. 4
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.6.2; Add, subtract, multiply, and divide radical expressions (square roots and<br />
higher).<br />
‣ Also assesses MA.912.A.6.1; Simplify radical expressions.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.7.1; Graph quadratic equations with and without graphing technology.<br />
‣ Also assesses MA.912.A.7.8; Use quadratic equations to solve real-world problems.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:<br />
Problem 5:<br />
Match the graph with its equation.<br />
y = –2x 2 + 2<br />
A. B. C. D.
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.A.7.2; Solve quadratic equations over the real numbers by factoring and by using<br />
the quadratic formula.<br />
‣ Also assesses<br />
Problem 1:<br />
• MA.912.1.8; Use the zero product property <strong>of</strong> real numbers in a variety <strong>of</strong> contexts<br />
to identify solutions to equations.<br />
• MA.912.A.7.8; Use quadratic equations to solve real-world problems.<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:<br />
Problem 5:<br />
A. x = 2 or x = 1<br />
B. x = -2 or x = -1<br />
C. x = -2 or x = 1<br />
D. x = 2 or x = -1
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.D.7.1; Perform set operations such as union and intersection, complement, and<br />
cross product.<br />
Problem 1:<br />
Problem 2:<br />
Problem 3:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 4:<br />
Problem 5:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Benchmark: MA.912.D.7.2; Use Venn diagrams to explore relationships and patterns and to make<br />
arguments about relationships between sets.<br />
Problem 1:<br />
Problem 2:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 3:<br />
Problem 4:
<strong>Florida</strong> <strong>Algebra</strong> 1 <strong>End</strong>-<strong>of</strong>-<strong>Course</strong> <strong>Assessment</strong> <strong>Item</strong> <strong>Bank</strong>, <strong>Polk</strong> County School District<br />
Problem 5:<br />
Eight boxes <strong>of</strong> juice are organic and 11 are unsweetened. Five <strong>of</strong> the boxes <strong>of</strong> juice are both organic<br />
and unsweetened. How many boxes <strong>of</strong> juice are there?