Unit 1 Review: Equations & Inequalities

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

What is the first step in solving the following problem?

2x+10=22

• Add 10 to each side

• Divide by 2

• Subtract 10 from each side

• Multiply by 10

Which figure shows the inequality x > -4?

• Figure 1
• Figure 2
• Figure 3
• Figure 4

Simplify each equation. Tell whether the equation has one solution, no solution, or infinitely many solutions.
3x - 8 = 3(x - 4) + 1

• one solution
• no solutions
• infinitely many solutions

Solve the Equation:
2(6b + 1) = 4(b - 5) -2

• b = - 2.75
• b = -7/8
• b = 3
• b = -3

Solve for y:
x + 2y = −8  

• y = − 1 /2 x − 4
• y = − 2 x − 4
• y = 1 /2 x − 4
• y = − 1 /2 x +4

0.4x - 1.5 = 0.6x + 1.1

Justin Bieber solved this equation. All of his work is shown. Did Justin make any errors (mistakes)? If so, what was it?

• No, Justin did not make any errors (mistakes).

• Yes, Justin did not combine -6n and -14 on the right side correctly.

• Yes, Justin did not distribute the 4 to (1+5n) correctly.

• Yes, Justin did not divide correctly on the last step.

Determine which type of math problem is displayed below
5x + 29 - 3² x 16

• Expression
• Equation
• Inequality