CRCT Study Guide - 8th Grade Math Unit 1 Unit 2

1 unit 1 1. The point P(9, -2) is translated 2 units up to make point P . Point P is then reflected across the y-axis to form point P . What are the coordinates of P ? a. (-11, -2) b. (-9, 4) c. (-9, 0) d. (-9, -4) 2. What would be the new coordinates of (2,4), (3,5), (4,3) and (3,2) if you graphed them on a coordinate plane and rotated them 90 about the origin? In which quadrant is the new figure? 3. At a train station, Track A is parallel to Track C. Track B intersects Track A and Track C. Track A and Track B intersect at an angle of 150 as shown.

2 What is the measure of the angle, x, formed by the intersection of Track B and Track C? 4. What is the value of y in the figure below? What is measure of the angle 4y + 16? 1. Simplify the following without negative exponents: a) 4-4 x 42 b) c) 2. What is the value of (36)(3-3)(3)? 3. Change to standard form: x 10-2 4. Change to scientific notation: 107,000,000,000 5. A rectangular section of land has a length of 5 x 104 meters and a width of 6 x 103 meters. What is the area of the land in square meters, in scientific notation?

3 6. Explain why each of the following is rational or irrational: a. b. c. 7. Estimate the square root of 18 to the nearest tenth. 8. Which number line shows the value that is closest to 9. What are the two square roots of 36? 10. Find the following cube roots: a) b) 10. Solve the following equations: a. 2x + 3(4x 3) = 8 3x b. 23232xx 4 3 27aby1445638327 CRCT Study Guide - 8th Grade Math Name _____ unit 2 1)1232(21615 xxUnit 3 1. A television is advertised as a 32 inch screen (which the company gets from measuring the diagonal).

4 If the television has a height of 20 inches, which is the best estimate of the television's width? a. 20 inches b. inches c. inches d. inches 2. Which are NOT the dimensions of a right triangle? a. 6, 8 10 b. 5, 12, 13 c. 3, 4, 5 d. 12, 16, 18 3. What must be the missing area in order for the triangle to be a right triangle? 4. To the nearest tenth, what is the length of the line segment? ? 5. What is the volume of this hemisphere with a radius of 10 meters? 6. The cylinder has an approximate volume of yd3.

5 What is its height? Use for 7. A cylinder and a cone each have a radius of 3 in. and a height of 8 in. What is the ratio of the volume of the cone to the volume of the cylinder? Justify your answer. a. 1:2 b) 1:3 c) 1: d) 1:1 h Pythagorean Theorem: a2 + b2 = c2 Volume: Cylinder: V=(area of base) x (height) Sphere: V = Cone: V = Bh 334r . unit 4 1. What makes a relation a function? 2. Identify which of the following are functions: A. B. C. D.

6 {(1,2), (2,3), (1,4), (4,1)} E. {senators, states} F. {states, senators} G. y=3x+5 H. x = -2 I. 3. Which equation represents a linear function? unit 5 1. Which statement about the rates of change for the two functions is true? a. Function 1 has a greater rate of change than Function 2. b. Function 2 has a greater rate of change than Function 1. c. Both functions have the same rate of change d. Function 2 does not have a constant rate of change, but Function 1 does. 2. What is the slope of ? What is the slope of ?

7 What do you notice? 3. Which graph represents the equation 2x + 5y = 100? Write the equation of each line in slope-intercept form. AB''ABX Y 3 4 5 7 7 10 9 13 unit 7 1. Determine whether either of the points ( 1, 5) and (0, 2) is a solution to the given system of equations. y = 3x 2 y = x 6 2. Solve the system of equations using any method you choose. 2x + y= 7 x 3y= 0 3. Gustav has 35 dimes and quarters that total $ Solve a system of equations to find out how many dimes and how many quarters he has.

8 4. John gets price quotes from two different lawn-mowing services for the cost of mowing the field next to his house. Company A charges $8 plus an additional $5 per hour. Company B charges $2 plus an additional $6 per hour. The total price quote for each company is the same amount. How many hours do the companies estimate it will take to mow the field? a. 6 b. 10 c. 21 d. 38 unit 6 1. The scatter plot shows the attendance at a sports team s away games. What would be the best prediction of the number of fans who would attend an away game if they had to travel 33 miles?

9 A. 360 b. 400 c. 440 d. The scatter plot shows no association, so it is not possible to make a prediction 2. For which x-values is the interval increasing? a. from x = -5 to x = 1 b. from x = 0 to x = 3 c. from x = 3 to x = 6 d. The graph does not show an increasing interval. 3. Mark asked students at his school how many different sports they played in a year and how many hours they spent on homework each week. He recorded the data in a two-way table. Which statement is NOT correct? a. Students who play 4 sports are more likely to spend 2 to 5 hours on homework than students who play 1 sport.

10 B. Students who play 4 sports are less likely to spend more than 5 hours on homework than students who play 3 sports. c. Students who play 1 sport and students who play 3 sports are equally likely to spend less than 2 hours on homework. d. Students who play no sports and students who play 2 sports are equally likely to spend less than 2 hours on homework.