Combining Like Terms
Percent
Equivalent Expression
Integer Arithmetic
Miscellaneous
100

3x - 7x


-4x

100

A toy cost $21.21.  The tax is 7.5 percent.  What is the cost of the toy?

$22.80

100

78 - 23

78 + -23

100

1/2(10 - 6)

2

100

-8(6 + (-5))

-8

200

2x - 7x + 8

-5x + 8

200

A man sold $3,456 worth of products.  He earns 4.3% commission.  What did the man earn?

$148.61

200

-7/9 - (-2/7)

-7/9 + (2/7)

200

At 3pm the temperature is 6 degrees.  Six hours later the temperature is -19 degrees.  What expression represents the difference in temperatures? Use absolute value!

|6 - -19|

200

-1/2(3x - 8)

-1.5x + 4

300

5 + 4x - 6x - 4

-2x + 1

300

What is the simple interest on a loan for $2,930 for 5 years at 3.4%?

$498.10

300

(7x + 6) - (6x - 9)

x + 15

300

 -15 - 6

-21

300

Rewrite don't combine the constants

7(x - 9) + 7

7x - 63 + 7

400

-(5x - 9) + x - 7

-4x + 2

400

A toy cost $56.21 and was on sale for $43.21.  What is the percent decrease?

23%

400

A woman makes a profit of $.34 for  selling dolls or toy cars.  Write an expression for the total profit dolls (a) and cars (b).

.34(a + b)

400

1/2(1 1/5) + 3/4 divided by 7/8

51/35 or 1 16/35

400

Mr. Palmer notices the temperature outside is -8 degrees. An hour later the temperature is 17 degrees. Write the equation without absolute value.

17 - (-8) = 25

500

-1/2(3x - 6) + 8x - 4

6.5x - 1

500

A toy cost $21.21. It is marked down 12% and the tax is 7.5%.  What is the total price of the toy?

$20.05

500

3x - 8(x + 3) - 6(x - 7)

-11x + 18

500

2/3 + 4(1/4 - 2/3) + 3/4

-1/4

500

A toy has a 20% markdown.  If the price is represented by x, then how much does the toy cost?

.80x

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