Real Numbers
Simplify:
7 x 11 +14 ÷ 7
79
Suzie rents a bicycle for 3 hours. The deposit is $12, and she has to pay an hourly fee. If her total bill is $22.50, what is the hourly fee?
$3.50
Solve:
10 x 10 x ( 2 - 6 )
-400
Which algebraic expression is equivalent to: -5(4x – 2) + 3x
a. -17x - 10 b. -23x - 10 c. -17x + 10
d. -23x + 10 e. 2x – 7
c. -17x + 10
Solve:
4/9=x/(x-10)
x = -8
You are making potato salad for a family picnic. You can peel 2 potatoes per minute. You need 30 peeled potatoes in all. How long will it take you to finish peeling potatoes if you have already peeled 12 potatoes?
9 minutes to peel the remaining potatoes
Evaluate if x = -2, y = -3, and z = 2.5
3(x + y) – (x – 2) =
-11
Solve:
4 x (10 x 5 - 4 ) - 6
178
Solve:
(x+4)/5=-3/15
x = -5
Chuck jogged the same distance on Tuesday and Friday, and 8 miles on Sunday, for a total of 20 miles for the week. How many miles did he jog on Tuesday?
Chuck jogged 6 miles on Tuesday.
Evaluate if x = -4, y = -5, and z = 2
2x2 - y – 3(x – z2 ) =
61
Solve:
(6 + 30 x 2 – 1) - 8² =
1
Solve the equation:
4(2x - 8)+12x = 6(2x - 1)–2
x = -3
Solve:
9/(x+8)=3/(3-x)
x = 1/4
You can stuff 108 envelopes in 45 minutes. At this rate, how many envelopes can you stuff in 2 hours?
In 2 hours you can stuff 288 envelopes
Choose the correct translation of “five plus the product of eight and a number.”
a. 5 - 8x b. 5÷8x c. 5 + 8x
d. 8x – 5 e. 8x÷5
c. 5 + 8x
12+6²÷(1+4x2)-3x2² =
4
x - (2x+1) - 4 = -3(2x+1) - 12
x = -2
Solve:
(x+8)/6=(3x+4)/12
x = 12