Algebra Review

Arithmetic Sequences

100

Given the sequence 3, 7, 11, 15, what is the common difference?

What is 4

200

a₁ = -5

d = -2

What is the explicit formula?

What is a_n = -3 - 2n

300

Given the explicit formula a_n = -16 + 4n

What is the 9th term?

What is 20

400

Given the sequence 21, 19, 17, 15...

What is the explicit formula?

What is a_n = 23 - 2n

500

Given the explicit formula a_n = 2 + 5n

What is the 18th term?

What is 92

Inequalities

100

When solving an inequality, when do you flip the inequality symbol?

What is "when you multiply or divide by a negative number"

200

When graphing an inequality, when would you have an open circle?

What is graphing a solution that is greater than or less than

300

What is the solution to -7 + 6x < 7x - 4 < 4x + 2

What is -3 < x < 2

400

What is the solution to 2r - 7 > 13 or -r + 1 > 1

What is r > 10 or r<0

500

What is the solution to 88 < -8(x - 3)

What is x < -8

Systems of Equations

100

What are three ways to solve a system of equations?

What is graphing, substitution, and elimination

200

When a system of equations has the same slope and the same y-intercept, how many solutions does the system have?

What is an infinite number of solutions

300

What is the value of x in this system of equations?

8x + 10y = 2 

-10x - 10y = -20

What is 9

400

What is the solution to this system of equations?

2x - 8y = -6

-2x - y = 15

What is (-7, -1)

500

What is the solution to this system of equations?

-9x - 7y = -11

-10x + y = -21

What is (2, -1)

Direct Variations & Exponents

100

What is the y-intercept of a direct variation? Write is as an ordered pair.

What is (0, 0)

200

If the amount y (in dollars) that you raised selling x fundraiser tickets is represented by the equation y=7x, how many tickets were sold when $175 was raised?

What is 25 tickets

300

Simplify the expression (3x⁶y³)(4x^-4y)(2x^-7)

What is 24y⁴/x⁵

400

If the amount y (in dollars) that you spent on gas traveling x miles is represented by the equation y=4.50x, how much money did you spend driving 12 miles?

What is $54

500

Simplify (16x^-4y⁸)^3/4

What is 8y⁶/x³

Equations

100

The slope of the line that goes through (-15, 18),(0,15)

What is -1/5

200

The slope of the line perpendicular to line given the equation y=7/3x + 2

What is -3/7

300

The equation of the line, in slope intercept form, that goes through (-2,0), slope -1/4

What is y= -1/4x - 1/2

400

The equation of the line that goes through (-5,5), parallel to y = -3/2x - 5

What is y - 5 = -3/2(x + 5)

500

The equation of the line, in standard form, that goes through (5, 3) and (4, -4)

What is 7x - y = 32