Math Review 8th

Which equation forms a pair of linear equations with 9x + 12y = 48 such that the system has no solution? (Write all of the equations in the form y = mx + b in order to compare them.)

• 16x - 12y = -48

• 6x + 12y = -48

• 3x + 4y = 12

• 6x + 8y = 32

A student is trying to construct a triangle. Which set of angles will form a triangle?

• 30, 60, 70

• 40, 50, 100

• 45, 65 70

• 70, 80, 90

Solve the system 2x + 5y = 1

3x + 7y = 2

• (-1, 3)

• (3, -1)

• (-3, 1)

• (-1, -3)

Carlos has a square tablecloth with an area of 48 square feel. Which measurement is closet to the length of each side of the tablecloth in feet?

• 6.9 feet

• 12.0 feet

• 5.0 feet

• 24 feet

0.0000713 converted to scientific notation is

• 7.13 x 10^-4

• 7.13 x 10^-5

• 7.13 x 10⁴

• 7.13 x 10⁵

Casey travels 3 miles from her house directly west to the bank and then 4 miles directly north from the bank to the mall. She then travels home on the road connecting the mall to her house. What is the total distance she traveled?

• 5 miles

• 25 miles

• 37 miles

• 50 miles

Is the point (5, -2) a solution to the system 3x - 2y = 19 and 2x + 3y = 4?

• Yes

• No

What is the distance between the points (1, 3) and (9,9)?

• 6 units

• 8 units

• 10 units

• 12 units

Nick places his 30 ft. ladder against the house he is painting. If the bottom of the ladder is 8 ft. from the base of the house, how high above the ground will the top of the ladder reach?

• 27.8 ft

• 28.9 ft

• 22.0 ft.

• 31.0 ft.