Algebra Semester 2 Review

Systems of Equations

100

Solve the system of linear equations: 

-3x+9y= -21

-3x+8y= -18

What is (-2,-3)?

200

Solve the system of linear equations: 

y=7x-20

y=2x

What is (4,8)?

300

Find the solution to the system of equations: 

4x + 3y = -14

8x + 10y = -36

What is (-2, -2)?

400

Solve the system by substitution. 

2x = y

5x + 5y = -15

What is (-1, -2) ?

500

Determine if the following system of equations has no solutions, infinitely many solutions, or exactly one solution. 

3x + 2y = 4

-6x - 4y= -8

What is infinitely many solutions?

Polynomials

100

Classify this polynomial by degrees and number of terms: 

-x² + 4x³ + 6

What is cubic trinomial? 

200

Perform the operation. 

(-7x² - 4) + (-7x² - 6x -2)

What is -14x² - 6x - 6?

300

Multiply x(-9x² - 5x + 9)

What is -9x³ - 5x² + 9x ?

400

Multiply x²(-4x² + 8x) 

What is -4x⁴ + 8x³ ?

500

Multiply (x - 3) (2x - 5)

What is 2x² - 11x + 15 ?

Factoring

100

Factor the expression completely. 

10x + 40

What is 10(x+4) ?

200

Factor the expression completely

-81x³ - 36x⁵

What is -9x³(9 + 4x²) ?

300

Factor 

x² - 4x - 32

What is (x + 4)(x - 8) ?

400

Factor completely: 

x² - 49

What is (x+7)(x - 7)?

500

Factor the trinomial: 2x² + 13x + 21

What is (2x + 7) (x + 3)?

Quadratics

100

Solve the quadratic by factoring: 

x² - 16x + 63 = 0

What is x=9 and x=7?

200

Solve 

x² = 36

What is x=6 and x= -6 ?

300

Solve by completing the square: 

x² + 6x -27 = 0

What is x= 3 and x = -9?

400

Solve using the quadratic formula. Give your answer to the nearest tenth 

x² - 7x - 24 = 0

What is x = 9.5 and x= -2.5 ?

500

What is the axis of symmetry for the quadratic function: 

-x² - 6x -5 ?

What is x = -3?

Data & Stats

100

Find the mean of the set of numbers below: 

42, 23, 23, 49, 13, 5, 13

What is 24?

200

Find the median of the data set: 

40, 39, 45, 17, 27, 13, 29

What is 29?

300

What is the value of the first quartile in the following data set? 

5, 8, 9, 12, 13, 13, 14, 16, 19, 19

What is 9 ?

400

What is the best measure of central tendency to use for the following data set? 

22, 25, 26, 27, 29, 25, 26, 26, 29, 3, 19, 20, 21, 21, 20?

What is median?

500

A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.

• 28 seventh graders estimated they spent less than an hour.
• 35 eighth graders were surveyed.
• 31 total students estimated they spent more than an hour.
• 74 total students were surveyed.

How many 7th graders were surveyed?

What is 39?