Name ______Hour______

Pre-Algebra RAMP Appeals Review #2

  1. Jeb’s brother is 6 years older than Jeb. Their combined ages add up to 42. Write an equation to show how you would find Jeb’s age.
  1. Andrea’s heater needs to be fixed. She called K & S Heating and Air to come fix her heater. They quoted her a price of $50 to look at the heater and $35 per hour to work on the heater. Write an expression that would represent the cost of getting the heater repaired for h number of hours.
  1. Jaime needs $85 for a class trip. She has $45. She can earn $5 an hour mowing lawns. If the equation shows this relationship, how many hours must Jaime work to have the money she needs?

5h + 45 = 85

  1. James has $60 in his lunch account. It costs $3 for lunch each day. After how many days, will James have $15 in his lunch account? Write and solve an equation involving a variable.
  1. Define a rational number:______
  1. Circle the correct answer for each value.

Rational Non-rationalπ Rational Non-rational

4 Rational Non-rational-.25 Rational Non-rational

0.12 Rational Non-rational2 ÷ 5 Rational Non-rational

0.324536745…. Rational Non-rational

  1. Which of the following is the EXACT decimal equivalent for ?

a. 0.18 b. .81c. 0.18181819 d. 0.18

  1. Which of the following is NOT the exact decimal equivalent for ?
  1. 0.5555555…. b. 0.5c. 0.55555556 d.
  1. Compare the following using <, >, or =.
  1. -3.735 - 5 5.11
  1. A picture is enlarged to 16 inches wide and 18 inches long. This is 3 inches wider and 4 inches longer than the original. What is the width and length of the original picture?
  1. A. Find the unit rate of 5 packs of gum for $3.25

B. Find the unit rate of 15 packs of gum for $9.50

C. Which is the better buy?

  1. The distance from Willow Creek to the mall is 10 kilometers. How many miles is this? Round to the nearest tenth if necessary. (1 mile = 1.61 km)
  1. To create a wonderful chili recipe, the recipe calls for 2 pounds of hamburger, 6 garlic cloves, and 1 can of diced tomatoes. If you have 4 pounds of hamburger to use, how many cloves of garlic and how many cans of diced tomatoes will you need?

Garlic cloves: ______Cans of diced tomatoes: ______

  1. The two triangles below are similar. Find the scale factor from the larger triangle to the smaller triangle.

8 cm

12 cm 9 cm

a. 4:3b. 2:3 c. 1:2d. 3:4

  1. DEF is similar to GHI. GHI is similar to JKL. Which statement must be true?
  1. DEF is congruent to JKLb. There is no relationship between

DEF and JKL

c. DEF is similar to JKL

  1. A) Are these figures similar?

B) Explain why or why not?

  1. The two gardens below are similar figures and have an area ratio of 6:1. What is the area of garden B, given that the area of garden A is 16 square feet?

Garden A

Garden B

  1. Triangle OMG is similar to IDK. The ratio of OM to ID is 4:12. If OG is 8 cm, find the length of IK.
  1. The average depth of the Grand Canyon is 5,280 feet. On a scale model, the depth is 24 inches. Find the scale of the model.
  1. From Chicago, IL to Rochester, MN, the distance is 378 miles. On a map, this is 3 inches. What is the scale on the map?
  1. A football field measures 120 yards in length and about 50 yards in width. Find the length and width on a scale drawing if the scale is 0.5 inches = 5 yards. (Hint: set up 2 proportions)