One-step equations
Two Step Equations
Combining Like Terms
Proportions/Percents
Potpourri
100
Solve for x. x + 2 = 5
What is 3? x + 2 = 5 -2 -2 x = 3
100
Solve for x. 2x + 4 = 6
What is 1? 2x + 4 = 6 - 4 -4 2x = 2 Divide each side by 2. 2 divided by 2 = 1.
100
Solve for x. 4x + 2x = 36
What is 6? You must combine like terms first. 4x + 2x = 6x New equation is 6x = 36 Since x is being multiplied by 6, we must divide both sides by 6. 36 divided by 6 = 6
100

Find 18% of 75

What is 13.5?   First you change the percent into a decimal then multiply by the given number. 

100

A letter that represents a number in an equation. Hint: It is the "x" in the following equation: x + 1 = 2

What is a variable?

200
13x = 26
What is 2? 13x = 26 divide 13 on both sides 13 divided by 26 = 2
200
Solve for x. 7x + 3 = 31
What is 4? 7x + 3 = 31 - 3 - 3 7x = 28 Since x is being multiplied by 7, you must divide each side by 7. 28 divided by 7 = 4
200
Solve for x. 9x - 7x - 5 = 17
What is 11? You must combine like terms first. 9x - 7x = 2x New equation is 2x - 5 = 17 +5 +5 2x = 22 Since x is being multiplied by 2, we must divide both sides by 2. 22 divided by 2 = 11
200

Find 28% of 1,400.

What is 392?   First you change the percent into a decimal then multiply by the given number.

200

A comparison of two like quantities using a fraction.   Hint: There are 3 different ways to write it. 

What is a ratio?

300
Solve for x. x/4 = 12
What is 48? Since x is divided by 4, we must do the opposite and multiply both sides by 4. 12 x 4 = 48
300
Solve for z. -3z - 7 = 23
What is -10? -3z - 7 = 23 +7 +7 -3z = 30 Since z is being multiplied by -3, you must divide each side by -3. 30 divided by -3 = -10
300

Solve for w. 7w - 3w + 4w = -16

What is -2? First you must combine like terms. 7w - 3w + 4w = 8w New equation is 8w = -16. Since w is being multiplied by 8, we must divide both sides by 8. -16 divided by 8 = -2.

300

What percent of 20 is 8?

What is 40%?  First, you must Write an equation.  

(n) (20) = 8

 Next, solve for n.  20n=8    n= 8/20

Next, rewrite the fraction as a decimal, then as a percent. 

300
It is the number that is multiplied by a variable in an equation. Hint: It is the 4 in the following equation: 4a = 16
What is a coefficient?
400
Solve for y. y + 10 = 3
What is -7? y + 10 = 3 - 10 -10 y = -7
400
Solve for x. 11 - 7x = 18
What is -1? 11 - 7x = 18 -11 -11 -7x = 7 Since x is being multiplied by -7, we must divide each side by -7. 7 divided by -7 = -1.
400
Solve for a. 4a + 5 - 3a = -27
What is -32? First we must combine like terms. 4a - 3a = a New equation. a + 5 = -27 - 5 - 5 a = -32
400

What percent of 900 is 45?

What is 5%?  First, you must Write an equation.  

(n) (900) = 45

 Next, solve for n.  900n=45    n= 45/900

Next, rewrite the fraction as a decimal, then as a percent.

400
Solve for x: l -2 l + 3x = l -20 l (Those are absolute value bars)
What is x = 6
500
Solve for z. -3z = 39
What is -13? Since z is being multiplied by -3, we must do the opposite and divide each side by -3. 39 divided by -3 = -13
500
Solve for x. -6 + x/3 = 3
What is 27? -6 + x/3 = 3 +6 +6 x/3 = 9 Since x is being divided by 3, we must multiply each side by 3. 9 x 3 = 27
500

Solve for m. 6m - 7 - 4m - 16 = -23

What is 0? First you must combine like terms. 6m - 4m = 2m AND -7 - 16 = -23 New equation is 2m - 23 = -23 +23 +23 2m = 0 Since m is multiplied by 2, we must divide both sides by 2. 0 divided by 2 = 0

500

Solve this proportion. 2/x =  6/30

What is x= 10?

 First, set the cross products of the proportion equal to each other..  

(2) (30) = (x)(6)

 Next, multiply= 60=6x

Next, divide each side of the equation by 6. 

Next, step simplify.  x =10

 

500

How many ways can a ratio be expressed?

What is three?