Real Numbers
Order of Operation
Equations
Proportions
Real World Problems
100
Evaluate: 12 – (-4) =
16
100
Simplify: 7 x 11 +14 ÷ 7
79
100
Simplify the expression: 10x – 3 + 4 – 2x.
8x + 1
100
Solve: -5/7=x/42
x = -30
100
Suzzie says -3/18 is rational because it is a ratio of integers, but John says -3/18 is an integer because it has a negative sign and when reduced is -6. Who is correct and why? Explain what the wrong person is misunderstanding
-3/18 is rational and an integer. However, it does not reduce to -6
200
Evaluate: 16÷ (-3/9)
- 48
200
Solve: 10 x 10 x ( 2 - 6 )
-400
200
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
200
Solve: 4/9=x/(x-10)
x = -8
200
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? Explain in words how you know your answer is correct.
9 minutes to peel the remaining potatoes
300
Evaluate the following problem: (let x = -2, y = -3, and z = 2.5) 3(x + y) – (x – 2) =
-11
300
Solve: 4 x (10 x 5 - 4 ) - 6
178
300
Solve the equation: 2/3x = -6
x = -9
300
Solve: (x+4)/5=-3/15
x = 5
300
Chuck jogged the same distance on Tuesday and Friday, and 8 miles on Sunday, for a total of 20 miles for the week.
Chuck jogged 6 miles on Tuesday and Friday
400
Which is an example of a sum of an integer and a rational number that is not an integer resulting in a negative sum? a. 4 + (-5/30) b. -3 + 6.45 c. -9 +√34 d. 6+(-8 1/2) Explain your answer
c. -9 +√34
400
Solve: (6 + 30 x 2 – 1) - 8² =
1
400
Solve the equation: 4(2x - 8) + 12x = 6(2x - 1) – 2
x = -3
400
Solve: 9/(x+8)=3/(3-x)
x = -1/4
400
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
500
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
500
12 + 6² ÷ (1 + 4 x 2) - 3 x 2² =
4
500
x - (2x + 1) - 4 = -3(2x + 1) - 12
x = -2
500
Solve: (x+8)/6=(3x+4)/12
x = 12
500
You want to exchange $60 Canadian dollars for US dollars. $12 Canadian dollars is worth $8.19 in US currency. How much is the 60 Canadian dollars worth in US currency?
x = $40.95
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