Algebra Final Exam Review

Solve the equation.

7(2x - 4) = 42

• x= 5

• x= 8

• x= 2

• x= 9

Answer explanation

To solve the equation, distribute 7 to 2x and -4. Simplify and solve for x. The correct answer is x=5.

Solve for x:

3x - 7 = -5x + 17

• x = 5

• x = 12

• x = 3

• x = 1.2

Answer explanation

To solve the equation, combine like terms: 8x = 24. Divide both sides by 8 to find x = 3. Therefore, the correct choice is x = 3.

Solve the inequality.

-20 > 18 + m

• m < -38

• m < 38

• m > 38

Answer explanation

To solve the inequality -20 > 18 + m, subtract 18 from both sides to get -38 > m. Therefore, m < -38. This is the correct choice.

Write the equation for the line in slope-intercept form.

• y = -1x + 3

• y = 4x + 3

• y = 1/4x + 3

• y = -4x + 3

Answer explanation

The equation for the line in slope-intercept form is y = 4x + 3. This is the correct choice because it represents a line with a slope of 4 and a y-intercept of 3.

Which of the following is a function?

Identify the slope and y-intercept from the equation.

y = 2x + 3

• slope = 2

  y-intercept = 3

• slope = 3

  y-intercept = 2

Answer explanation

The slope of the equation y = 2x + 3 is 2 and the y-intercept is 3. This is the correct choice.

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

The sum of three consecutive integers is 48.  What is the smallest number in the group?

• 16

• 15

• 17

• 24

The sum of three consecutive numbers is -30.  What is the smallest of the three numbers?

• -10

• -11

• -12

• -9

Solve the inequality.
-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

Answer explanation

To solve the inequality -5m < 10, divide both sides by -5. Remember to flip the inequality sign when dividing by a negative number. So, m > -2. Therefore, the correct choice is m > -2.