Linear Equations & Inequalities Review

Which operations would you use to solve for "x" in the following equation?

x/2 + 4 = 7

• Divide by 2 on both sides of the equation, and add 4 to both sides of the equation.

• Add 4 on both sides of the equation, and divide by 2 on both sides of the equation.

• Subtract 4 on both sides of the equation, and multiply by 2 on both sides of the equation.

• Subtract 4 on both sides, and divide by 2 on both sides of the equation.

Timothy bought a soda for $1.25 and candy bars for $0.30 each. If he spent a total of $2.15, which equation could he use to represent the situation?

• 1.25x + 0.30 = 2.15

• 0.30x + 1.25 = 2.15

• 2.15x + 0.30 = 1.25

• 0.30x + 2.15 = 1.25

Timothy bought a soda for $1.25 and candy bars for $0.30 each. He spent a total of $2.15. Solve the equation from the previous question. The correct answer is...

• 3 sodas

• 6 candy bars

• 6 sodas

• 3 candy bars

Trisha bought 5 shirts and a pair of sneakers that costs $95. She spent a total of $170. Write an equation to find "s", the cost of each shirt.

• 5s + 95 = 170

• 95s + 5 = 170

• 95 + 5 = 170

• 170 = 95s + 5

Trisha bought 5 shirts and a pair of sneakers that costs $95. She spent a total of $170. Using the equation from the previous question, solve for the cost of each shirt.

• $17

• $17.17

• $15.15

• $15

There is more than one method that can be used to solve the following equation. Select all of the correct methods that you could use.

1/2 ( x - 6) = 10

• Distribute 1/2 to the x and the 6, add 3, and then divide by 1/2 on both sides.

• Add 6 to both sides and then divide by 1/2 on both sides.

• Divide 1/2 on both sides and then add 6 to both sides.

• Multiply by 1/2 on both sides and then subtract 6 on both sides.

In order to watch a movie at the theater, you must purchase an $8 ticket. If snacks are $4 each, how many possible snacks could you purchase with $20?

Write an inequality for the situation.

• 4s + 8 < 20

• 4s + 8 < 20

• 8s + 4 > 20

• 8s + 4 > 20

In order to watch a movie at the theater, you must purchase an $8 ticket. If snacks are $4 each, how many possible snacks could you purchase with $20?

Use the inequality from the previous question and solve.

• less than 3 snacks

• at most 3 snacks

• at least 3 snacks

• more than 3 snacks

Solve for "d".

-4d - 8 > -14

• d > 3/2

• d < 14/4

• d < 3/2

• d > 8/4

Gideon wants to save at least $550 in 10 weeks. He already has $50 saved.

Which of the following inequalities could Gideon use to find "x", the least amount of money he needs to save every week?

• 550 > 10x + 50

• 550 < 10x + 50

• 550 > 10x + 50

• 550 < 10x + 50