Algebra Final Exam Review (Semester 1)

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.

Tags

CCSS.7.EE.B.4A

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

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.

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

• 16

• 15

• 17

• 24

Tags

CCSS.8.EE.C.7B

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

• -10

• -11

• -12

• -9

Tags

CCSS.8.EE.C.7B

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.

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.

Find the slope of the line that passes through:
(6,7) and (4,2)

• 2/5

• -5/2

• 5/2

• -1/2

Tags

CCSS.8.EE.B.5

Find the slope given these points:

(-8,4) & (-5,1)

• -1

• 1

• 3/13

• 5/13

Tags

CCSS.8.EE.B.5

Describe how to graph the equation of this line:
y = 2x - 4

• start at (0, 2) then go down 4 over 1

• Start at (0, -4) then go down 2 to the right 1

• Start at (0, -4) on the y-axis then go up 2 to the right 1

Answer explanation

To graph the line y = 2x - 4, start at (0, -4) and go down 2 units for every 1 unit to the right. This is the correct choice.