Equations in One Variable Answers

For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can be used to find w, the width of the rectangle?

What is the solution set of |–x| = –10?

Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.75 + ?m = 175What number should he use as the coefficient of m?

For which equations below is x = –3 a possible solution? Select three options.|x| = 3|x| = –3|–x| = 3|–x| = –3–|x| = –3

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x represents the cost of a ticket. How much is one ticket?

Zoe is solving the equation 3x – 4 = –10 for x.She used the addition property of equality to isolate the variable term as shown.3x – 4 = –103x – 4 + 4 = –10 + 43x = – 6

Carina begins to solve the equation by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options.After adding 4 to both sides, the equation is .After adding 4 to both sides, the equation is .The equation can be solved for using exactly one more step by multiplying both sides by .The equation can be solved for x using exactly one more step by dividing both sides by .The equation can be solved for x using exactly one more step by multiplying both sides by .

Jamal uses the steps below to solve the equation 6x – 4 = 8.Step 1: 6x – 4 + 4 = 8 + 4Step 2: 6x + 0 = 12Step 3: 6x = 12Step 4: = Step 5: 1x = 2Step 6: x = 2

The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?