PACE Unit 3 Final Assessment Review

Which equation has a solution of  $\frac{1}{3}$    for n?

•  $n\ -\ 2\ =\ \frac{1}{3}$  

•  $1\ \frac{1}{3\ }\ +\ n\ =\ 2$  

•  $12n\ =\ 4$  

•  $8n=24$  

Which situation cannot be represented by the equation

x + 20 = 25?

• There are 25 giraffes. There are also 20 hyenas. What is x, the total number of giraffes and hyenas?

• Nathan drove his car 25 miles last week. He drove 20 miles on Saturday and the rest of the miles on Monday. What is x, the number of miles Nathan drove his car on Monday?

• Lebron James and Tim Duncan scored a total of 25 points in a game. Duncan scored 20 points. What is x, the number of points scored by Lebron James?

• Norah spent $25 on a scarf and a headband. The scarf cost $20. What is x, the cost of the headband in dollars?

Addi spent $25.90 at UPS. She paid $19.20 to send a package to her cousin and bought stamps with the rest of the money. If Addi bought 50 stamps, which equation shows how to find x, the cost of each stamp?

• 25.90 = 19.20 - 50x

• 25.90 = 19.20x + 50

• 25.90 = 50x + 19.20

• 25.90 = 50x - 19.20

Find the value of x.

• 13

• 5

• 55

• 54

Tags

CCSS.7.G.B.5

Solve the equation:  $5\left(3x+7\right)+15+3x=230$  

• x = 10
  

• x = 33 $\frac{5}{6}$  

• x = 11 $\frac{5}{9}$  

• x = 20

Which of the following is NOT one of the angle measures?

• 95
• 40
• 85
• 45

Tags

CCSS.8.G.A.5

Josh mows lawns to make money. He needs at least $900 to buy a new bike. He has already saved $250 towards his goal. He earns $50 per lawn that he mows. How many lawns, x, will Josh have to mow to meet or exceed his goal?

• $250+50x\ge900$

• $50x-250\ge900$

• $250+50x\le900$

• $250-50x\le900$

Which one of the following answer choices could be a correct solution for the following inequality?

 $-n+2<29$  

• -27

• -26

• -30

• None of these

The solution to which of the following inequalities matches the graph below?

• $x\ -\left(-8\right)\ge19$

• $x+15\ge-4$

• $3x\ +\ 2\ >35$

• $-5x\ -2\ \ge53$

The model represents an inequality. What is the solution for the inequality?

• x > -8.5

• x < -8.5

• x > -12.5

• x > 12.5