Fractions/Percents/Decimals
Review
Integers
Absolute Value
Length Coordinate Graph
100
.
Complete the web. Then, come up with a situation that would involve twenty-two hundredths.
fraction: or
; percent: 22%; decimal: 0.22; situation: answers will vary, could be that someone scored 78% on the test, and wanted to know what percent s/he missed. ]
100
What is the least common multiple of 4, 6 and 9?
36
100
Show a diagram of +’s and –’s to represent each expression. What is the value of the expression? Show your work.
a. –5 + 6 + (–2) =
b. 3 + (–5) =
[ a: –1, b: –2 ]
100
What is equal to?
10
100
Tamara’s and Gabby’s frogs sit back to back at the point 0 on a number line. Tamara’s frog hops eight units to the right while Gabby’s frog hops 11 units to the left.
a. On what point are each frog now sitting?
b. Who jumped the furthest?
c. How far apart are the two frogs now?
d. Represent the distance between the two frogs using absolute value.
[ a: Tamara’s: 8, Gabby’s: -11; b: Gabby’s; c: 19 units; d: This part might be advanced: . ]
200
Write a fraction, decimal, and a percent to represent each shaded area below.
[ a: , 0.35, 35%; b:
, 0.36, 36% ]
200
What is the least common multiple of 6, 8 and 12?
24
200
What is 6 – (–4)?
10
200
Compute the following.
a. b.
c. d.
[ a: 7, b: –3, c: 21, d: ]
[ a: 7, b: –3, c: 21, d: ]
200
What is the distance between each pair of points? Show your work.
a. and
b. and
[ a: 13; b: 10;
300
Fill in the table below with the missing form of the number.
[ 45%, 67.5%, 0.08, 0.375, 0.5% ]
300
Martha made 5 out of 6 free throws. Mary made 7 out of 8. Who is the better shooter? Explain completely.
7/8 > 5/6
300
A number line is provided here.
a. Draw on the number line “start at zero, make two jumps of –2 followed by moving –1.”
b. Now write the movement described above as a numeric expression.
c. What is the value of the expression you wrote in part (b)?
[ a: student should draw two jumps of 2 spaces to the left of zero followed by one jump to the left of 1 space ending at –5,
b: 2(–2) + (–1) or 2(–2) –1,
c: –5 ]
300
Compute the value.
a.
b.
c.
d.
[ a: 17, b: –17, c: –14, d: 34 ]
[ [ a: 17, b: –17, c: –14, d: 34 ]
300
c. and
d. and
c: 17; d: 2 ]
400
Rewrite each percent as a fraction and a decimal.
a. 16% b. 28%
c. 145% d. 2%
, b:
, c:
, d:
]
400
Compare these fractions using =, < or >.
a.
B
c D
A.) <
B.) <
C.) >
D.) =
400
The table below shows the coldest recorded temperatures for seven states.
Put the states in order from coldest recorded low temperatures to warmest recorded low temperatures.
[ Alaska, Oregon, Maine, California, Arizona, Florida, Hawaii ]
400
Which points below have an absolute value of 4?
[ points B and D ]
400
Point A has coordinates (5, 2). Name two points that are a distance of eight units away from point A.
[ (5, 10), (5, -6), (13, 2), and (-3, 2) are points that work. ]
500
Consider the fractions: and
.
a. What is the Least Common Multiple of the denominators?
b. Add the two fractions.
c. What is the Greatest Common Factor of the numerator and denominator of your answer to part (b)?
d. How can you use the Greatest Common Factor to simplify the fraction in part (b)? Explain completely, and simplify the fraction.
[ a: 45, b: , c: 3, d: If we factor the greatest common factor out both the numerator and the denominator, that becomes our giant one, and we can simplify to
. ]
500
Simplify the following fractions.
a. b.
c. d.
[ a: , b:
, c:
, d:
]
500
A number line is provided here.
a. Draw on the number line “start at zero, make two jumps of 3 followed by moving –7.”
b. Now write the movement described above as a numeric expression.
c. What is the value of the expression you wrote in part (b)?
[ a: student should draw two jumps of 3 spaces to the right of zero followed by one jump to the left of 7 spaces ending at –1, b: 2(3) + (–7) or 2(3) – 7, c: –1 ]
500
Antoine, the active ant, sits on a number line at the position of the number 8. Antoine walks threes steps in the positive direction, twelve steps in the negative direction, one step in the positive direction, and seven more steps in the negative direction. At this number, Antoine sits down and takes a nap.
a. If x is the number on which Antoine sits, what is the value of x?
b.
[ a: x = -7; b: 7 ]
500
Two points are 17 units apart. If one point is at (-4, 6), where is the other point? Justify your answer.
(-4, 23), (-4, -11), (13, 6) and (-21, 6),