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1.1 Integers and Rational Numbers

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11.2. Writing Linear Equations in St<strong>and</strong>ard Form www.ck12.org3. Consider the equation Ax + By = C. What are the slope <strong>and</strong> y−intercept of this equation?Rewrite the following equations in st<strong>and</strong>ard form.4. y = 3x − 85. y = −x − 66. y = 5 3 x − 47. 0.30x + 0.70y = 158. 5 = 1 6 x − y9. y − 7 = −5(x − 12)10. 2y = 6x + 911. y = 9 4 x + 1 412. y + 3 5 = 2 3(x − 2)13. 3y + 5 = 4(x − 9)Find the slope <strong>and</strong> y−intercept of the following lines.14. 5x − 2y = 1515. 3x + 6y = 2516. x − 8y = 1217. 3x − 7y = 2018. 9x − 9y = 419. 6x + y = 320. x − y = 921. 8x + 3y = 1522. 4x + 9y = 1Write each equation in st<strong>and</strong>ard form.23. The farmers market also sells tomatoes <strong>and</strong> corn. Tomatoes are selling for $1.29 per pound <strong>and</strong> corn is sellingfor $3.25 per pound. If you buy 6 pounds of tomatoes, how many pounds of corn can you buy if your totalspending cash is $11.61?24. The local church is hosting a Friday night fish fry for Lent. They sell a fried fish dinner for $7.50 <strong>and</strong> a bakedfish dinner for $8.25. The church sold 130 fried fish dinners <strong>and</strong> took in $2,336.25. How many baked fishdinners were sold?25. Andrew has two part time jobs. One pays $6 per hour <strong>and</strong> the other pays $10 per hour. He wants to make$366 per week. Write an equation in st<strong>and</strong>ard form that describes this situation. If he is only allowed to work15 hours per week at the $10 per hour job, how many hours does he need to work per week at his $6 per hourjob in order to achieve his goal?26. Anne invests money in two accounts. One account returns 5% annual interest <strong>and</strong> the other returns 7% annualinterest. In order not to incur a tax penalty, she can make no more than $400 in interest per year. Write anequation in st<strong>and</strong>ard form that describes this problem. If she invests $5000 in the 5% interest account, howmuch money does she need to invest in the other account?220

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