8th Grade Math MCAS Review

Real Numbers

100

Square root of 2 is an example of this type of real number.

What is an irrational number?

200

The number 1.23 x 10⁷ in standard form.

What is 12,300,000?

300

The number 0.00057 in scientific notation.

What is 5.7 x 10^-4?

400

The term that does not describe the number -5

A. Rational number

B. Irrational number

C. Integer

D. Real Number

What is B. Irrational Number

500

The order from least to greatest of the the following four numbers:

7.2, 14/3, square root of 59, 7.25

What is 14/3, 7.2, 7.25, square root of 59?

Multi-step Equations

100

True or False, x = 5 a solution to 3x + 6 = -3(x - 12)

True

200

Simplify the expression below:

3x + 12 - 10y -7x + 15 - 8y

-4x - 18y +27

300

Solve for x:

3x + 5x + 8 = -16

x = -3

400

5x - 11 = 3x - 81 

Solve for x

x = -35

500

Solve for x:

3(2x - 10) + 4x = -2(x + 6) + 18

x = 3

Linear Equations

100

Identify the slope and the y-intercept in the equation below:

y = -11x - 7

slope (m) = -11

y-int (b) = -7

200

Is (5, -2) a solution to the equation below?

y = 2x - 14

NO, (5, -2) is not a solution to 

the equation y = 2x-14

300

Find the slope for the the following 2 points:

(7, 12) and (5, -6)

Slope = 9

400

Meggie receives a birthday check for $100. She decides to open a bank account and deposit the $100 and plans to deposit $5 of her allowance every week. Write an equation to represent how much money Meggie has in the account for any given number of weeks.

y = 5x + 100

500

Mary puts $46 in her savings account every two weeks. Charlie has saved $90 after four weeks. What is the rate of money saved per week for each individual?

Mary's rate = $23/week

Charlie's rate = $22.50/week

Exponents

100

x⁵y³(x^-2y⁴) =

What is x³y⁷

200

3c⁷/15c⁴

What is c³/5?

300

Rewrite the following with no negative exponents:

x²y^-7/z^-3

x²z³/y⁷

400

Simplify the expression below:

7⁰x⁵y³y^-3

x⁵

500

Simplify the expression below:

(3x^-1y³)²

9x^-2y⁶ OR 9y⁶/x²

Transformations

100

Which type of transformation does not result in an image congruent to the original?

A. Translation               B. Rotation

C. Reflection                 D. Dilation

 

D. Dilation

200

The point (3, 5) undergoes a translation 5 units left and 10 units up. What is the new coordinate after the translation?

(-2, 15)

300

Triangle ABC has the coordinates (5, -2), (2, -1) and (6, -4). What quadrant of the coordinate grid will the triangle be located in after a 180 degree rotation?

Quadrant II

400

A triangle XYZ with coordinates (8, 1), (2, 3), (6, 12) is reflected across the x-axis. The new triangle X'Y'Z' is located in which quadrant of the coordinate grid?

Quadrant IV (4)

500

Identify the scale factor of the following triangle dilation:

ABC: (5, -2), (3, -8), (6, -1)

A'B'C': (15, -6), (9, -24), (18, -3)

Scale factor = 3

(3x, 3y)