8th Grade MCA Practice

Solving Equations

100

Solve the following equation:

x - 7 = 12

x = 19

200

Solve the following equation:

7x - 4 = 24

x = 4

300

Solve the following equation: 

6(3x + 8) = -24

x = -4

400

Solve the following equation: 

4(2x - 5) + 5x = -20

x = 0

500

Solve the following equation:

4x - 18 = 6x + 4

x = -11

Graphing Equations

100

What is slope-intercept form?

y = mx + b

200

Convert the following into slope-intercept form.

2x + 6y = 12

y = -(1/3) x + 2

Or

y = -(2/6)x + 2

300

Describe the steps to graph the equation:

y = (1/4)x - 2

1. Plot the y-intercept (0,-2)

2. Use the slope ( 1/4) to graph the next couple points... go up 1, to the right 4

3. Connect the points with a straight line

400

What is the slope and the y-intercept in the following equation?

y - 4 = 8(x + 3)

Slope = 8

Y-intercept = 28

500

What is the slope and y-intercept of the following equation?

7x - 8y = 16

Slope = 7/8

Y-intercept = -2

Writing Equations

100

Write the equation of the line with a slope of 5 and a y-intercept of 6 in slope-intercept form.

y = 5x + 6

200

Write the equation of the line that goes through the point (2, 5) with a slope of 1/2 in point-slope form.

y - 5 = 1/2(x - 2)

300

Write the equation of a line that goes through (1,2) and (2,6) in point-slope form.

y - 2 = 4(x - 1)

OR

y - 6 = 4(x - 2)

400

Write the equation that goes through (3,2) and (-2, -3) in slope-intercept form.

y = x - 1

500

What is the slope of a line 

parallel to y = 2x - 10

and 

perpendicular to y = 2x - 10

Parallel = 2

Perpendicular = -1/2

System of Equations

100

What are the three ways to solve a system of equations?

Graphing, Substitution, and Elimination

200

What are the three solutions that can happen when solving a system of equations by graphing?

1. One intersection point

2. No intersections points - no solution

3. Same line - Infinitely many solutions

300

Solve the following system of equations by substitution:

x = 6

x - 2y = -10

(6,8)

400

Solve the following system of equations by substitution:

y = 4x - 10

y = 3x + 9

(19 , 66)

500

Solve the following system of equations by elimination:

3x - 5y = 10

2x + 5y = 15

(5, 1)

Exponents and Scientific Notation

100

Write 4⁸ using repeated multiplication. 

4 * 4 * 4 * 4 *4 * 4 *4 * 4 

200

What is x³ * x⁵ * x²?

x¹⁰

300

What is 8³ ÷ 8^-4?

8⁷

400

What is (4 * 10 * 6)⁵?

4⁵ * 10⁵ * 6⁵

500

Write the following number in scientific notation:

17,000,000

1.7 x 10⁷