Math Test 1!

Linear Equations and Inequalities

100

4x+7=19

x=3

200

(2x-3)/5=7

x=19

300

5x-8=3x+6

x=7

400

3(2x-4)-5=x+10

x=5

500

Solve and graph:

2x+3>9 and x-4<2

3<x<6

Graphs and Systems

100

Find the slope of the line through (-2,4) and (3,-1)

m=-1

200

Write the slope-intercept equation of the line through (0,2) with slope -3.

y=-3x+2

300

Find the equation of the line parallel to y=2x+5 passing through (1,−3).

y=2x-5

400

Solve by Substitution:

y=x+4

2x+y=10

(2,6)

500

A theater sells tickets: $6 for children, $10 for adults. If 150 tickets were sold for $1260, how many of each?

90 children

60 adults

Factoring

100

x²+7x+10

(x+5)(x+2)

200

12x²-15x

3x(4x-5)

300

Factor by grouping:

x³+3x²+2x+6

(x²+2)(x+3)

400

Factor completely: 

49y²−25

(7y−5)(7y+5)

500

Factor: 

x⁴−9x²

x²(x−3)(x+3)

Quadratic Equations

100

Solve: 

x²−36=0

x=±6

200

Solve by factoring:

x²+7x+12=0

x= -3,-4

300

Solve by completing the square: x²+6x+4=0

x=−3±√5

400

Solve:

(x−2)²=20

x=2±2√5

500

Solve using quadratic formula: 

2x²−3x−7=0

x=3±√65/4

Functions and Domains

100

Evaluate: 

f(x)=3x−4

Find f(5).

11

200

Evaluate: 

h(x)=2∣x−3∣

Find h(−1).

8

300

Find the domain of 

g(x)=1/x+6

All real except x=-6

400

Find the domain of 

f(x)=√(x−2)

[2,∞)

500

Given the graph of a function, identify:

(a) one x-value where f(x)=0

(b) the value of f(2) 

(Show on board if needed)

x=-2, 2

f(2)=0