Algebra I Intensified Mid-Year Review

Unit 1 (Expressions and Laws of Exponents)

100

Four times the difference of a number and seven is -52.

4x - 7 = -52

200

2³ * (21 + 15) + 3

291

300

4x⁰y² * -2x³y¹

-8x³y³

400

|c^{2 _} d⁴| + (cd)²

^{c = 3}

^{d = -2}

43

500

z(-2x³)² * x⁵y²z⁴

4x¹¹y²z⁵

Unit 2 (Solving Equations)

100

-45 = -4x + 11

x = 14

200

0.25a - 9 = -17

-32

300

C = 2πr

Solve for r. 

r = C/2π

400

-9(n + 4) = -5n - (4n +36)

infinite solutions

500

M = 0.5(x₁ + x₂)

Solve for x₁.

x₁ = 2M - x₂

Unit 3 (Functions)

100

Is this a function?

{(-1,-4), (2,-2), (7,9), (-1, -3)}

No

200

What is the range of this function?

{(8,2), (4,-1), (0,-1), (-4,2)}

{2, -1}

300

If f(x) = -2x + 7, find x when f(x) = 11.

x = -2

400

Find the range of the function f(x)=x² - 6x if the domain is {-7, -2, 1}

{91, 16, -5}

500

g(x)=2x - 1

h(x)= -0.5x - 3 

Find g(h(-6)).

g(h(-6)) = -1

Unit 4 (Writing and Graphing Linear Equations)

100

What is the slope of the line that passes through the points (-6,10) and (2,-6)?

m = -2

200

Given two points on the line, write the equation of the line in slope intercept form.

(-3,7) and (6,-8)

y = (-5/3)x + 2

300

Determine whether there is a direct, inverse, or no variation.

The number of miles driven and the number of gallons of gas used.

inverse variation

400

Write the equation of the horizontal line that passes through (5, -3).

y = -3

500

Write the equation of the line that is perpendicular to the line y = 3x - 4 and passes through the point (-6,1).

y = (-1/3)x - 1

Unit 5 (Systems of Equations)

100

A graphed system of equations shows two parallel lines, what is the solution?

no solution

200

Solve the system of equations:

y = x + 9

3x +8y = -5

(-7,2)

300

Solve the system of equations. 

3x + y = 2

4 - 2y = 6x

infinite solutions

400

Solve the system of equations.

4x + 3y = -1

5x + 4y =1

(-7,9)

500

Reese and Lucy bought some pens and pencils. Reese bought 4 pens and 5 pencils for $6.71. Lucy bought 5 pens and 3 pencils for $7.12. Find the cost of a pencil.

$0.39