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?

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

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

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

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?

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?

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.

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 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?

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