Equations in One Variable Answers

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

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?

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 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?

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

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

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?

A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?

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?

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.