Check in 2 review

Solving equations and inequalities

100

Write a linear equation in two variables to model: "A taxi charges $3.50 flat plus $2 per mile." Then identify slope and intercept

y=2x+3.5

slope: 2

y intercept: 3.5

200

Create a system of two linear equations to model: "Two phone plans. Plan A: $10 monthly + $0.05 per minute. Plan B: $25 monthly + $0.02 per minute."

y=10+.05x

y=25+.02x

300

Solve 2(x − 3) + 4 = x + 9

x=11

400

-5n+6>-7(5n-6)-6n

n>1

500

−11 + 10( p + 10) = 4 − 5(2p + 11)

-7

Systems of equation and inequalities

100

Write an inequality that would have a dotted line and would be shaded above the line

Any inequality that has a > symbol

200

Two gyms have different membership plans:

• Gym X: $50 joining fee plus $20 per month
• Gym Y: $30 per month (no joining fee)

After how many months will the total cost be the same?

five months

300

Solve by substitution

y = 6x − 11

−2x − 3y = −7

(2,1)

400

Solve the system through elimination

−4x − 2y = −12 

4x + 8y = −24

(6,-6)

500

Solve by elimination 

5x + y = 9 

10x − 7y = −18

(1,4)

Quadratic functions

100

Find the x intercepts from the factored form

(k + 1)(k − 5) = 0

-1, 5

200

Find the x-intercepts from the factored form

(4k + 5)(k + 1) = 0

-5/4, -1

300

Find x intercepts (convert into factored form first)

b² + 2b − 35 = 0

5,-7

400

Convert into factored form

2v² + 11v + 5

(2v+1)(v+5)

500

Convert into factored form

3p² − 2p − 5  

(3p-5)(p+1)

Functions

100

Given f(x) = x² and g(x) = 2x + 1, write an expression for (f + g)(x)

x²+2x+1

200

Which function has a larger slope?

function one

1   75

2   90

3   105

4   120

function 2

y=13x-12

Function 1

300

h(x) = 4x − 2; Find h(x + 2)

4x+6

400

Compare these three functions:

• Function A: f(x)=2x
• Function B: g(x)=x²
• Function C: h(x)=2^x

Which function is largest when x=4

Function B and C are the same

500

If f(x) = 3x and g(x) = x² − 4, write a new function h(x) =f(g(x))

3x³-12x