Chapter 2 Review

Solving For a Variable

100

2x+4+3+2x=12+7

x=3

200

8.63x+9.42x=126.35

x=7

300

3(x+5)-3=4+2(x+1)

x=-6

400

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

x= -1/2

500

3/2(4x+3)= 1/4(8x+4)

x= -1/4

How Many Solutions

100

Simplify the following equation and then determine how many solutions there are.

2x+2+6=3x+1-x+5

2x+8=2x+6

No Solution

200

Simplify the following equation and then determine how many solutions there are. 

2(3x+4)=4+3(x+4)

6x+8=3x+16

One Solution

300

Simplify the following equation and then determine how many solutions there are. 

0.25(2x+8)=1+0.25(4x+4)-0.5

0.5x+2=0.5x+2

Infinitely Many Solutions

400

Simplify the following equation and then determine how many solutions there are. 

9x+3-2x+4=3x+2+x+3+3x+2

7x+7=7x+7

Infinitely Many Solutions

500

Simplify the following equation and then determine how many solutions there are. 

2/3(9x+3)=3/5(10x+5)

6x+2=6x+3

No Solution

Unit Rate

100

At the grocery store, 5 apples cost 8. How much does each apple cost?

Each apple cost $1.60

200

At the gas station, it cost Manny $12.50 for 7 gallons of gas. How much is it per gallon? (round to the nearest hundredth)

Each gallon is $1.79

300

Jackie and Matt went to the store to buy bananas. At County Market, they bought 12 bananas for $6.36. How much is each banana?

Each banana is $0.53

Slope and Y-int

100

From the following equation, identify the slope.

y= -1/3x

m= -1/3

200

How do you tell where the y-int is on a graph?

The y-int is where the line crosses the y-axis on a graph

300

What variable from the following equation represents the y-int.

y=mx+b

b is the y-int

400

Graph the following equation:

y=3/2x

Plot the 1st point at (0,0)

use the slope 3/2 to plot the next 2 points

500

Graph the following equation:

y= -5/4x

Plot the first point at (0,0)

use the slope -5/4 to plot the final 2 points

Slope Intercept Form (y=mx+b)

100

What do the variables m and b represent in the equation y=mx+b

m=slope

b=y-int

200

Describe how to plot the equation y=mx+b

plot the first point at the y-int(b)

use the slope(m) to plot the final 2 points

300

Graph the following equation:

y=x+3

plot the 1st point at 3

use the slope of 1 to plot the final 2 points

400

Graph the following equation:

y=3/4x-4

plot the first point at -4

use the slope 3/4 to plot the final 2 points

500

Graph the following equation:

x=-4

plot a point at -4 on the x-axis. Since it is not our normal equation, this equation will create a vertical line.