Algebra Keystone Review Week #1

Expressions

100

What is the value of the expression 3x + 4 when x = 2

10

200

Simplify the expression 5(2y + 3) + 4y

14y + 15

300

If a = 3 and b = 5, evaluate the expression 2a² + 3b - 7

26

400

Simplify the expression 2(x+3) - 4(x-1)

-2x + 10

500

Write the expression for the perimeter of a rectangle with a length L and width W.

P = 2L + 2W

Equations

100

Solve x + 5 = 12

x = 7

200

Solve 2x - 3 = 9

x = 6

300

Solve -2(3 - x) = 4

x = 5

400

Solve 7x - 2 = 5x + 6

x = 4

500

Solve -2(6 - 3x) + 27x = -3(x - 8)

x = 1

Inequalities

100

Solve -12x > 84

x < -7

200

Text messages cost $0.15 each. You can spend no more than $10. Write and solve an inequality to see how many text messages you can send.

0.15x <= 10

x <= 66 messages

300

Solve (2x - 5)/ 3 > 7

x > 13

400

Solve 7x > 21 OR -2x > 2

x < -1 OR x > 3

500

Solve -4 < 3x + 5 < 11

-3<x<2

Functions

100

Is { (0,-5), (1,-1), (2,-1), (3, 5) } a function?

Yes. There is one output for every input. No x's are repeated.

200

State the domain and range of the relation.

{ (0,-5), (1,-1), (2,-1), (3,5) }

Domain: {0,1,2,3}

Range: {-5,-1,5}

300

Find the next three terms of the arithmetic sequence:

7, 3, -1, -5, ...

Common Difference = -4

-9, -13, -17

400

For f(x) = -4x + 2, find f(x) when x = 3

f(3) = -10

500

Graph y = -2x + 4 for the domain D: {-2, -1, 0, 2, 4}

x= -2, -1, 0, 2, 4

y=  8,  6,  4, 0, -4

Systems of Equations

100

Tell whether (1, -4) is a solution to the given system.

x - 2y = 8

4x - y = 8

No

200

Find the point of intersection of the given system.

y = 4x + 3

y = -x - 2

(-1, -1)

300

Solve the system by substitution.

y = x + 5

4x + y = 20

(3, 8)

400

Solve the system by elimination.

2x + y = 6

4x - 2y = 4

(2, 2)

500

Joe spent $7.75 to purchase 23 snacks. Chips are $0.25 each and pretzels are $0.50 each. How many of each type of snack did Joe buy? Write the system of equations and solve.

x + y = 23 -> y = 23 - x

0.25x + 0.50y = 7.75

(15 chips, 8 pretzels)