8th Grade Midyear Review

Real Numbers

100

Decide if the following is rational or irrational:

sqrt(48)

Irrational

200

Estimate the following to the nearest tenth:

sqrt(63)

7.9

300

Solve for x:

x^3-19=197

x=6

400

Order the numbers from least to greatest:

sqrt(45), 2sqrt(6), 6 1/4

2sqrt(6), 6 1/4, sqrt(45), 

Slope/Linear Relationships

100

The equation y = -3x + 2 represents a linear relationship. What is the slope and y-intercept of the line?

slope: -3

y-intercept: (0,2)

200

If the line passes through the points (2, 5) and (4, 11), what is the slope of the line?

3

300

Rewrite the equation in slope-intercept form:

2x-4y=5

y=1/2x-5/4

400

Write the equation of the line that passes through the points (4, 19) and (9, 24).

y = x + 15

Systems of Equations

100

Solve the following system of equations:

2x + y = 5
x - y = 1

x = 2 y=1

200

Solve the system of equations:

–x − 2y = –20 

–5x + y = –12

The solution is x =4   y=8

300

Solve:

x − 5y = –2 

–4x + 10y = –12

(8,2)

400

Ethan is 4 years older than Ken. If the sum of Ethan and Ken’s age is 38, how old are Ethan and Ken?

Ethan- 21 years old

Ken- 17 years old

Exponents

100

Evaluate the expression:

(Write your answer as a fraction and a decimal)

(-1/2)^4

 

0.0625

1/16

200

Evaluate the expression:

(-5)^3-3^2

-134

300

Simplify:

(x^5)(x^-6)

x^-1

1/x

400

Simplify:

(x^5x^3)/(x^4x^4)

1

Scientific Notation

100

Write the number in standard form:

1,9 x 10^-7

0.00000019

200

Evaluate:

6.1x10^-4 + 4.3x10^-4

1.04x10^-3

300

Evaluate:

(4x10^6)(2x10^10)

8x10^16

400

(7.44x10^8)/(1.24x10^4)

6x10^4