2023 Semester 2 Algebra 1 Review

Simple Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 3x + 3 - 2x = 21

x = 18

400

Solve: 4x - 5 - 3x + 2 - 2x = 9

x = -12

500

Solve: 21 + x = 2(x - 6)

x = 33

Exponent Rules

100

Simplify (x²)(x⁵)

x⁷

200

Simplify -2x²y³(9xy)

-18x³y⁴

300

Simplify (x⁷)³

x²¹

400

Simplify x⁸/x³

x⁵

500

Simplify x⁵y²/x³y⁵

x²/y³

Systems of Equations

100

Use substitution to find x if x=3y and y=2.

x=6

200

In order to use elimination, would we add or subtract these equations to eliminate x?

-8x+y=9

8x+6y=21

add

300

If we graphed a system of equations and the lines intersected one time, how many solutions exist to this system?

one solution

400

How many times would parallel lines cross each other?

zero (no solution to a system of equations)

500

If two lines in a system of equations had different slopes and different y-intercepts, how many solutions to the system would there be?

one solution (one intersection point)

Inequalities

100

Solve x - 8 > 10

x > 18

200

Solve 7m < -21

m < -3

300

Solve 2t + 2 < -6

t < -4

400

When graphing an inequality, what type of dot would you use for a <  sign? 

open dot

500

When graphing y < mx+b, what type of boundary line and shading would we use?

dashed line, shaded under the line (solutions fall in the shaded area)

Multiplying Binomials

100

(3x+2)(2x-5)

6x²-11x-10

200

(x+3)(x-3)

x²-9

300

(2x-5)(3x-7)

6x²-29x+35

400

(3x+2)²

9x²+12x+4

500

(-3x+7)(2x-5)

-6x²+29x-35

Factoring

100

x^2-x-12

(x-4)(x+3)

200

x²+8x+7

(x+1)(X+7)

300

x^2-49

(x+7)(x-7)

400

x²+2x-35

(x+7)(x-5)

500

x²-14x+37

Not Factorable

Do you know Mrs. Rhea?

100

This is Mrs. Rhea's Room Number 

(no, you cannot get up and look)

What is 220

200

This is how many children Mrs. Rhea has

What is 1?

300

This is the gender of Mrs. Rhea's child.

What is a boy?

400

This is the month Mrs. Rhea was born in.

What is January?

500

This is Mrs. Rhea's age.

What is 31?