Algebra Semester 1 Exam Review

Topic 1: Properties and Topic 2: Evaluating Expressions

100

Identify the following property

a * 1/a = 1

Inverse of Multiplication 

200

Identify the following property

If 3m= -21, then -21 = 3m

Symmetric

300

Evaluate the following expression

5p²q - 7q if p=-4 and q = -2

-146

400

Evaluate the following expression

(2⁵ - √36) - 45 + 3² + 8 

29

500

Evaluate the following expression 

|c²-d⁴| + (cd)²  if c = 3 and d = -2

43

Topic 3: Translating Expressions, Equations, and Inequalities and Topic 4: Solving Equations

100

The sum of twice a number and 9 is -25

2n + 9 = -25

200

Fifteen subtracted from the product of a number and -4 is at most 32.

-4n-15 ≤ 32

300

Solve the following equation

19 - 2(3w-5) = 15

w = 7/3

400

Solve the following equation 

6 - 4(3p - 2) = 6(1 - 2p) -1

No Solution 

500

Solve C=2πr for r. 

r = C/2π 

Topic 5: Solving and Graphing Inequalities and Topic 6: Relations and Functions

100

Solve and Graph the following inequality

3x -14 ≤  -17

x ≤  -1

200

Solve and Graph the following inequality

2a - 21 < 6a -1

a > -5 

300

Solve and Graph the following inequality

x - 4 > 3 or 2x + 1 ≤ -3

x> 7 or x ≤  -2 

400

If f(x) = 2x² + 3x - 19, find f(-4)

1

500

What are the Domain, Range, and State whether question number 51 is a function?

D = 0 ≤  x ≤  5

R = -2 ≤ y ≤  3

Function? NO

Topic 7: Slope and Topic 8: Graphing Linear Equations

100

What is the slope formula?

m = y₂ - y₁/ x₂ - x₁

200

Find the slope of (-6,10) and (2,-6) 

-2

300

Write the equations for slope-intercept form, point-slope form, and standard form. 

Slope-Intercept Form: y = mx + b

Point-Slope Form: y - y₁ = m(x - x₁)

Standard Form: Ax + By = C

400

Identify the slope and y-intercept of the equation. 

x - 3y = -6

Rewrite the equation into slope-intercept form 

slope = 1/3

y-intercept: = 2

y = 1/3x +2

500

Graph the linear equation below. 

2x + 4y = 28

Teachers will check 

y = -1/2x + 7

Topic 9: Writing Linear Equations and Topic 10: Parallel and Perpendicular Lines

100

Write an equation in slope-intercept form for point (-2,9) and slope =-4 

y=-4x + 1 

200

Write an equation in slope-intercept form for points (-5, 3) and (-6, 2). 

y = x + 8 

300

Describe the slopes of Parallel Lines and describe the slopes of Perpendicular Lines. 

Slopes of Parallel Lines are equal. 

Slopes of Perpendicular Lines are Opposite (Negative) Reciprocals

400

Graph the following linear equation. 

y = 2x + 1 

Teachers will check 

500

Write the equation of the line that is parallel to the line x + y = 2and passes through the point (-7, 4).

y = -x - 3