Unit 2 Test Solving equations and Systems

Solve for the given variable:

-42 = 5(2c + 9) - 3(c + 8)

• 9

• 3

• -9

• -3

Tags

AI.9.5.A

Solve for the given variable:

-41 = -2/5(45n + 60) + n

• 1

• -1

• 8

• -8

Tags

AI.9.5.A

AI.9.12

Solve for the given variable:

8 - 6m = 4m + 48

• 7

• -14

• 14

• -4

Tags

AI.9.5.A

AI.9.12

• -9

• -3

• 4

• 7

Tags

AI.9.5.A

AI.9.12

Last Saturday, Erin and Krysta each biked the Prairie Point Trail, a 20-mile path leading to the peak of Prairie Point Mountain. Both girls started at 7:00 A.M., heading toward the peak. Erin started at the trailhead and biked at a constant speed of 10 miles per hour. Krysta started at an entry point 3 miles ahead of the trailhead and rode at a steady pace of 8 miles per hour. If each girl kept a constant speed, which equation can you use to find h, the number of hours it took for Erin to catch up to Krysta?

Which of the following equations correctly models the situation?

• 10h + 3 = 8h

• 10h = 3 + 8h

• 10h + 8h = 3

• 10h = 8h - 3

Tags

AI.9.4.C

Eve and Julian are making their own pizzas. Eve's crust weighs 18 ounces, and Julian's crust weighs 12 ounces. After Eve adds 4 spoonfuls of tomato sauce to her pizza and Julian adds 8 spoonfuls to his, the two pizzas weigh the same.

Which equation can you use to find w, the weight of a spoonful of tomato sauce in ounces?

​ (a)   +​ (b)   =12 + ​ (c)  

• 18
• 4w
• 18w
• 4
• 8w
• 8
• 20
• 22w

Tags

AI.9.4.C

AI.9.1.B

Which of the following could describe the equation below:

96 + 5x = 120 + 3x

• Two gyms open on the same day. Gym A begins with 96 members and adds 5 per week. Gym B has 120 members and adds 3 per week.

• Juan has $5 in his savings account and plans to $96 per week. His sister has $120 in her account and plans to add 3 per week.

• Carlos has $96 in his account and there is a $5 fee per month. At another bank he has $120 with a $3 fee per month.

• Julio has collected 96 pokemon cards and plans to add 3 per week. His brother has 120 cards in his collection and plans to add 5 per week.

Tags

AI.9.4.C

AI.9.1.B

• (5, -2)

• (2, 5)

• (5, 2)

• (-2, 5)

Tags

AI.9.2

AI.9.5.C

• 7
• -6
• -7
• 6
• 3
• 2
• -3

Tags

AI.9.2

AI.9.5.C

The cost of 5 bedspreads and 8 pillows is $431.67. Three bedspreads and 10 pillows cost $344.75. Which of the following systems represents this situation?

• x + y = 431.67

  x + y = 344.75

• 5x + 8y = 431.67

  x + 10y = 344.75

• 5x + 8y = 431.67

  3x + 10y = 344.75

• 8x + 5y = 344.75

  3x + 10y = 431.67

Tags

AI.9.2

AI.9.5.C