ALGEBRA 1 REVIEW

EXPRESSIONS, EQUATIONS, AND FUNCTIONS

100

f(x) = 4(6x+7) when x=6

(6, 172)

200

Solve for x:  cdx + 12 = y

What is x = (y - 12)/cd

300

Solve for x, 2x+10<4x-8

x > 9, or 9 < x

400

Solve and graph solution on a number line  

3 l2x - 5l > 15

x > 5 or x < -5

500

Does this relation represent a function?

(2,3) (3,5) (7,9) (0,9) (-2,4)

Yes

Properties of Exponents

100

(2x ⁴ y ³) ⁻¹

1/2x ⁴y³

200

(4xy²z³ )/ 4x

1/(y²z)

300

x ² y ⁻⁴ ⋅ x ³ y ²

x⁵/y²

400

(4m ⁴ n ³ p ³) /(3m ² n ² p ⁴)

4m²n/3p

500

((a²b³c⁰)/(a³b⁴c³))^-4

a⁴b⁴c¹²

LINEAR EQUATIONS/GRAPHING

100

Identify the slope and y-intercept: 6x+3y=18

What is m=-2;b=6

200

X-intercept and Y-intercept: -2x+5y=-20

What is x-intercept=10; y-intercept=-4

300

Solve for x: 16x-4=4(2x-3)

What is x=-1.

400

Solve for b: b/8=9/4

What is b=18.

500

What is the slope and y-intercept? 2x+4y = 8

Slope = -1/2, y-intercept = 2

WRITING, SOLVING AND GRAPHING LINEAR EQUATIONS

100

Equation of the line that passes through the point (-2,9) and has slope -2.

What is y=2x+5

200

Equation of the line that passes through the two given points: (3,9) (1,1).

What is y=4x-3.

300

Equation of the line that passes through the given point and is perpendicular to the given line: (3,-3), y=x+5

What is y=-x.

400

Solve: abs(x-2)+6>9

What is x>5 or x<-1.

500

 y>4x-3

1. Would this be a dashed or solid line?

2. Would the origin be in the shaded region?

1. Dashed

2. Yes

SYSTEMS OF EQUATIONS / INEQUALITIES

100

Is there a solution to this system of equations?

y = 2x +12 and y = 2x -12

No

200

Graph: x>4, y<2

What is look at graph.

300

Does the ordered pair (8,5) satisfy this system of equations: 5x-4y=20, 3y=2x+1

What is No.

400

Graph: x<3, y>1, y>-x (greater than or equal to)

What is look at graph.

500

Write a system of inequalities whose solution set would be entirely in the first quadrant

Answers will vary