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?

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

The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip?

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 .

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

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

For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?

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?

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.18 + ?t = 24What number should be the coefficient of t?

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?