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Integers
Simplifying Expressions
Evaluating Formulas and Expressions
Solving Equations
Mix
100
-9 + -15
- 24
100
3(x - 7) + 7x
10x - 21
100
Evaluate the expression 2(y^2 - 2y + 1) + 4y when y = 3
2(9 - 6 + 1) + 12 2(4) + 12 8 + 12 20
100
7x + 9 = 2x - 1
5x + 9 = -1 5x = -10 x = - 2
100
Which of the following equations does NOT have x = 4 as its solution? A. 3x + 5 = 17 B. 2(x + 2) = 10 C. 0.5x + 5 = 7 D. x + 2 = 2x - 2
B. 2(x + 2) = 10
200
25 - - 10
35
200
6 - 2(4x + 8) + 5x
-3x - 10
200
Evaluate the expression 5a + 7 + a^2 when a = -3
-15 + 7 + 9 1
200
13n - 5 = 10n + 7
3n - 5 = 7 3n = 12 n = 4
200
Find the volume of a cylinder with a radius of 2 in and a height of 7 in. (use 3.14 for pi.)
87.92 square inches
300
(- 36 / 6) - 10 + - 20
- 36
300
6(6x - 8y) + 3x - 10y + 6
36x - 48y + 3x - 10y + 6 39x -58y + 6
300
Find the perimeter of a rectangle whose width is 5 ft and length is 9 ft
P = 2w + 2l P = 2(5) + 2(9) P = 10 + 18 P = 28 ft
300
8(2n - 5) = 4n + 8
16n - 40 = 4n + 8 12n - 40 = 8 12n = 48 n = 4
300
Amy, Patrick, and Taylor brought candy to school. Amy has three times as much candy as Patrick and Taylor has two fewer pieces of candy than Patrick. Altogether they have 23 pieces of candy. How many pieces of candy does each person have? Write an equation that you can solve.
3x + x + x - 2 = 23 x = 5 Patrick = 5 Amy = 15 Taylor = 3
400
( 10 - -15) / 5 + - 22
- 17
400
2(7x + 6) - 3(8x - 6) + 5(3x - 10)
14x + 12 - 24x + 18 + 15x - 50 5x -20
400
A dog is tied to a stake. The rope is 20 m long, so the dog can roam up to 20 m from the stake. Find the area within which the dog can roam. (Round to the nearest whole number.)
A = 3.14r^2 A = 3.14 * 20^2 A = 3.14 * 400 A = 1256 square meters
400
3x - 4(2x + 5) = 3(x - 2) + 10
3x - 8x - 20 = 3x - 6 + 10 - 5x - 20 = 3x + 4 - 20 = 8x + 4 - 24 = 8x - 3 = x
400
14 - (6x - 5) = 5(2x - 1) - 4x
14 - 6x + 5 = 10x - 5 - 4x 19 - 6x = 6x - 5 19 = 12x - 5 24 = 12x 2 = x
500
((- 16 - 20)/6) + - 19 - - 12
- 13
500
7(8x - 9) - (4 - 7x) + 3(6x - 9y) - 2(-10x - 9y)
56x - 63 - 4 + 7x + 18x -27y + 20x + 18y 81x - 9y - 67
500
The area of a circle is 113.04 square feet. What is the radius? (Use 3.14 for pi.)
A = 3.14r^2 113.04 = 3.14r^2 36 = r^2 6 feet = r
500
Solve for x. 7x - (2x + 3) = 9(x - 1) - 5x
7x - 2x - 3 = 9x - 9 - 5x 5x - 3 = 4x - 9 1x = -6 x = - 6
500
Mike delivers boxes of cookie dough to five bakeries every Friday. He normally delivers the same amount to each of the bakeries, but due to a snowstorm, the bakeries have called in various amounts. Cupcake Place wants the usual amount. Cookie Center wants 5 less than usual. Mamma's Bakery wants 10 less than usual. Justin's Cupcake Palace wants three times the usual amount. Amelia's wants half the usual number. If Mike has 63 boxes of cookie dough, how many will each bakery get?
Cupcake Place: 12 Cookie Center:7 Mamma's Bakery:2 Justin's Cupcake Palace:36 Amelia's: 6