Worksheets7th Grade Gen. Ed. Math 2023-2024 Interim Review- Unit 1B
Total questions: 260
Worksheet time: 22hrs 40mins
–8 • (–3) positive or negative?
Kim was walking down a rocky path. For 4 minutes, the elevation dropped uniformly. Altogether it dropped 8 feet. What was the change in elevation per minute for the 4 minutes?
As a front passed, the temperature changed steadily over 6 hours. Altogether it change -18 degrees. What was the change in temperature per hour for the 6 hours?
(-) x (-) = ???
(-) x (+) = ???
(5) • (–9) • (–2)
(-2)(-1)(-3)(-4)(-1)
2 - 7
5
9
-9
-5
6 + (-4)
2
-2
10
-10
To add integers with the SAME sign,
subtract and make it negative.
add the integers and keep the sign.
add the numbers and it’s always positive.
subtract the numbers and it’s always zero.
To add integers with different signs,
subtract the integers and keep the sign of the one with the greatest absolute value.
subtract and then it will be positive.
add the numbers and forget about the signs.
subtract until you get zero.
5 - (-5)
0
-10
-0
10
-7 - (-7)
0
14
-14
7
To subtract integers you
add the negative of the positive.
subtract the opposite.
just add them like they are.
add the opposite of the second integer.
Multiplying integers with the SAME sign;
The answer is always positive.
The answer is always negative.
The answer is seldom positive.
The answer is sometimes negative.
Multiply 5 x (-2)
10
-10
3
-3
Multiply -3 x (-5)
-8
-15
15
3
Multiply 4 x 0
4
-4
8
0
True or false.
You use the same rules for dividing integers as you do for multiplying integers.
True
False
Divide -12/-2
6
-6
2
-4
What is the rule when subtracting integers?
For example: 13 - (-12) =
Keep the signs and add
Same, Change, Change
A positive times a negative is a negative
Same, Same, Change
Re-write the equation below to show what it would look like after applying the rule for subtracting integers (Same, Change, Change):
-10 - 5
(a)
What is the rule when adding integers?
For example: 13 + (-1) =
If the signs are the same, add and keep the sign. If the signs are different, subtract and keep the sign of the larger whole number.
A negative times a negative equals a positive.
Same, Change, Change
A negative divided by a positive equals a negative.
What sign would your answer have if you multiply a negative by a negative?
For example: -9(-9) =
Positive
Negative
What would your answer by when you multiply two numbers with different signs?
For example: -5(8) =
Positive
Negative
Solve: 10 - (-18) =
8
28
-8
-28
In the football game on Friday night, the Patriots got the ball. On the first down, they gained 8 yards. The quarterback was sacked on the second down, and lost 12 yards. On the third down, they gained 14 yards. How many total yards did the team gain or lose in these three plays?
+ 12 yards
-10 yards
+ 10 yards
-4 yards
In the football game on Friday night, the Patriots got the ball. On the first down, they gained 8 yards. The quarterback was sacked on the second down, and lost 12 yards. On the third down, they gained 14 yards. How many total yards did the team gain or lose in these three plays?
+ 12 yards
-10 yards
+ 10 yards
-4 yards
Sonia went on a diving trip. On one of her dives, she descended 3 feet every minute for 5 minutes. How many feet below sea level was Sonia after 5 minutes?
-3 x 5 = 15 ft.
-3 x 5 = -15 ft.
3 + -5 = -2 ft
5 + -3 = 2 ft.
In the football game on Friday night, the Patriots got the ball. On the first down, they gained 8 yards. The quarterback was sacked on the second down, and lost 12 yards. On the third down, they gained 14 yards. How many total yards did the team gain or lose in these three plays?
+ 12 yards
-10 yards
+ 10 yards
-4 yards
Sonia went on a diving trip. On one of her dives, she descended 3 feet every minute for 5 minutes. How many feet below sea level was Sonia after 5 minutes?
-3 x 5 = 15 ft.
-3 x 5 = -15 ft.
3 + -5 = -2 ft
5 + -3 = 2 ft.
Fred had $134 in his bank account. He gave Wilma $4 per day for 5 days for Pebbles school lunch. How much money did Fred give to Wilma? How much money does he have left in his account?
(a)
Check all that are correct: When multiplying or dividing integers,
the sign of the answer is the negative if the signs of the factors are different.
the sign of the answer is the sign of the bigger number.
the sign of the answer is positive if both factors have the same sign.
the sign of the answer is always positive.
Mrs. Wilsbach owed Mrs. Bittner $29 dollars for sub sandwiches. Then, she ordered some wrapping paper from her for $13. How much in debt is Mrs. Wilsbach to Mrs. Bittner?
29 + 13 = $42
29 - 13 = $16
-29 + -13 = $-42
Mrs. Bittner should just give it all to Mrs. Wilsbach for free.
2*10
20
-20
-12
12
(-9)*(-8)
-72
72
81
-81
(4)(-20)
80
-80
24
-24
4 * (-5)
20
-20
-9
9
−20÷5
-4
4
-100
100
−30÷(−10)
-30
-3
3
30
−44÷4
11
-8
-11
-1/11
−12÷(−3)
36
-15
-4
4
12 * (-3)
15
-15
-36
36
(-2)(-2)(-2)
-8
8
-6
6
-5(-6)
-30
30
1
-11
(-9)(6)
-54
54
-3
-15
3/5 x 2/9
3/5 x 2/9
(Remember to Simplify)
Simplify the expression.
125 x 158
184
18040
92
91
Simplify the expression.
5 ÷ 41
201
241
20
24
What is the product of 4/5 x 3/10?
4
7/15
7/50
12/50
Change 4 65 into an improper fraction
626
615
629
624
64 × 53 =
1230
3012
52
615
Rosita runs 3⅓ miles everyday. How many miles will she run in 8 days?
26⅔ miles
25⅓ miles
26½ miles
26⅜ miles
Change 4 65 into an improper fraction
626
615
629
624
64 × 53 =
1230
3012
52
615
Rosita runs 3⅓ miles everyday. How many miles will she run in 8 days?
26⅔ miles
25⅓ miles
26½ miles
26⅜ miles
Find the product:
521 × 31521
821
1621
221
-1 1/2
-8 1/2
-6 /1/2
5 1/2
5
3
9
35
What is the rule for dividing fractions?
keep, change, opposite
keep, change, flip
keep, change, change
kentucky, fried , chicken
Solve: 32÷95
1518
1 51
2710
1027
What is the reciprocal of the mixed number above?
25/6
6/25
4 6/1
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut? (do not include the left over pieces, it's only asking for how many whole pieces she can cut)
13
6
9
This is not possible.
2 43÷1 21=
833
611
338
116
−21 × 53 =
Simplify the expression .
−103
−65
−56
−310
What is the first step in changing a mixed number to an improper fraction?
6/6 of a circle is shaded. How much of the circle is shaded?
1 sixth of the circle
1 half of the circle
1 whole circle
1 whole circle and a little more
Which expression has the same value as ¼ ÷ ⅞ ?
¼ x ⅞
⅞ ÷ ¼
¼ x 8/7
4/1 x 8/7
4/1 x 7/8
Which expression has the same value as ⅙ ÷ ⅖ ?
⅙ x ⅖
⅖ ÷ ⅙
⅙ x 5/2
6/1 x 5/2
6/1 x 2/5
Which expression has the same value as ⅝ ÷ ⅘ ?
⅝ x ⅘
⅘ ÷ ⅝
⅝ x 5/4
8/5 x 5/4
8/5 x 4/5
What is the reciprocal of 2/3?
2/3
1/4
3/2
4/6
What is the reciprocal of 7/8?
1
14/16
8/7
7/8
What is the reciprocal of 12/7?
7/12
1 5/7
3/6
12/7
What is the reciprocal of 2?
4
1/2
2/1
2/2
What is the reciprocal of 4
4/1
1/4
1/8
8/1
Which expression has the same value as ⅖ ÷ 5 ?
⅖ x 5
5 ÷ ⅖
⅖ x 1/5
5/2 x 5/1
5/1 x ⅔
What is the top number of a fraction called?
numerator
denominator
whole number
mixed number
What is the bottom number of a fraction called?
numerator
denominator
whole number
mixed number
What type of fraction is 321 ?
numerator
improper fraction
whole number
mixed number
What type of fraction is 516 ?
numerator
improper fraction
whole number
mixed number
What is the reciprocal of 2/5?
5/2
1 2/5
2/5
12/7
What is the reciprocal of 12
12/1
1/12
1/2
2/1
What is the reciprocal of 532 ?
317
173
532
523
What is the reciprocal of 421 ?
29
92
421
412
Product is the answer to a(n)...
addition problem
subtraction problem
multiplication problem
division problem
Quotient is the answer to a(n)...
addition problem
subtraction problem
multiplication problem
division problem
7 + (4 + 2) = 13, so (7 + 4) + 2
10
12
13
14
What is the missing number?
4 + (____ + 5) = (4 + 7) + 5
4
5
16
7
What is the missing number?
5 × (__× 9) = (5 × 8) × 9
5
360
8
9
5 × (2 × 9) is also equal to:
5 x (2 - 9)
5 x (2 + 9)
(5 x 2) x 9
(5 x 2) + 9
Which one of the following illustrates the Associative Law of addition?
3 + ( 2 + 4) = (4 + 4) + 1
3 + (2 + 4) = (3 + 2) + 4
3 + (2 + 4) = (5 + 2) + 2
3 + (2 + 4) = (2 + 6) + 1
Which of the following illustrates the Associative Law of multiplication?
4 × (3 × 6) = (3 × 12) × 2
4 × (3 × 6) = (6 × 6) × 2
4 × (3 × 6) = (4 × 3) × 6
4 × (3 × 6) = (3 × 8) × 3
9 + (3 + 4) = 16, so (9 + 3) + 4 =
26
9
17
16
What is the missing number?
2 + (__ + 4) = (2 + 6) + 4
12
2
6
4
(5 X 4) X 3 = ____ X (3 X 4)
(6 X 2) X 5 = ____ X (5 X 6)
(9 X 1) X 8 = ____ X (8 X 9)
4 X _____ = 32
2 X 2 X 1
6 X 1 X 0
10 X 2 X 1
What is true of the commutative property?
You can swap the order of addition or multiplication problems and still get the same answer.
Addition is the same as multiplication.
It will never work with subtraction or division
The order of operations should be multiply, divide, add subtract.
Which expression is the same as 2×3×9×2
according to the commutative property?
.
2+3+9+2
2,392
None of the answers are correct.
What is the missing number?
6 + ____ = 7 + 6
4
13
7
9
Which one of the following illustrates the Commutative Property of Addition?
5 + 7 = 7 + 5
5 + 7 = 4 + 8
5 + 7 = 3 + 9
5 + 7 = 10 + 2
Which of the following illustrates the Commutative Property of Multiplication?
3 x 4 = 6 x 2
3 x 4 = 12 x 1
3 x 4 = 2 x 6
3 x 4 = 4 x 3
How could you rewrite n + 6 using the commutative property?
n = 6
n x 6
n/6
6 + n
According to the commutative property of addition, 2 + 5 equals:
6 + 1
3 + 4
5 + 2
4 + 3
5 x 6 = 30, so 6 x 5 = _____
5 + 2 + 7 = 7 + ___ + 2
5
7
2
14
Which of these has the same value as 10 + 5 + 30? (Check ALL of the correct answers.)
30 + 5 + 10
10 + 30 + 5
35 + 25 + 15
5 + 30 + 10
What two words help us remember the Commutative Property?
Commute Others
Change Order
Commute Order
Change Others
Which is an example of the Commutative Property of Multiplication?
1 x 3 = 3
7 x 0 = 0
12 + 0 = 12
2 x 3 = 3 x 2
Which of these is an example of the commutative property of addition?
1 + 2 = 2 + 2
2 + 2 = 3 + 1
1 + 2 – 3 = 3 – 2 + 1
1 + (2 + 3) = (2 + 3) + 1
What is an example of the commutative property of multiplication?
2b = 2c
2 x 2 = 4 x 1
2 x 4 = 4 x 2
4 x (1 x 2) = (4 x 1) x 2
The commutative property of addition states that the order of the numbers in an equation:
Should go from smallest to largest
Should go from largest to smallest
Is important
Doesn't change the sum
How could you rewrite 6 x n using the commutative property?
n x 6
6 to the power of n
n + 6
n + 1 + 5
5 + (7 + 6) = (5 + ___) + 6
8+2=10, so 2+8=
8
2
10
12
2+7=9, so 7+2=
9
12
15
2
6+8=14, so
6+8=14
14+6=8
8+6=14
7+7=14
7+9=16, so
16-9=7
9+7=16
9+9=16
7+9=16
8+1=9, so
1+8=9
9+1=10
1+1=2
8+8=16
10+9=19
9+10=19
19-10=9
10+9=19
9+9=18
12+5=17
5+5+10
5+12=17
17-5=12
12+12=24
According to the commutative property of addition, 2 + 5 equals:
6 + 1
3 + 4
5 + 2
4 + 3
According to the commutative property of addition, 3 + 4 + 6 equals:
(3 + 4) + (3 + 6)
(3 + 4) x (3 + 6)
4 + 5 + 7
6 + 3 + 4
2 (x + 4)
2x + 4
2x + 8
2x + 6
10x
-3 (a + 3)
3a - 9
-3a + 9
3a + 9
-3a - 9
(x + 10) (-2)
-2x + 20
-2x - 20
2x - 20
2x + 20
3x (y + 4)
3x3y + 4x
3xy + 4x
3xy + 12x
3x + 3y + 12
6 (x + y + 7)
6x + 6y + 42
12xy + 42
6x + 6y + 7
6x6y + 42
-10 (-3x - 5y)
30x - 50y
-30x - 50y
80xy
30x + 50y
(-n + 3) (-8)
n - 5
n + 24
8n - 24
-8n - 24
(b - 7) (-7)
-7b + 49
7b - 49
b - 14
-7b - 14
21(t+8)
2t1t+28
21t+8
21t+4
21t+168
−31(y − 9)
31y+3
−31y+3
−31y−3
−31y+9
0.5 (u - 6)
0.5u + 6
0.5u + 3
0.5u - 6
0.5u - 3
(p - 12) (-0.25)
-0.25p - 3
0.25p + 3
-0.25p + 3
0.25p - 3
3x (9 + 2y - 3z)
27x + 6xy - 9xz
24xyz
27 + 6y - 9z
27x + 6x - 9x
9 (2x + 5x)
90x
18x + 45
18 + 45x
63x
6x (x - 9)
6x2 − 54
6x2 − 54x
6x − 54x
−48x
4 ¾ ÷ 1 ½
7_1/8
6_1/4
3_1/6
3_1/4
7/9 ÷ 1/2
1/9
7/18
8/11
1_5/9
Cindy is making a window covering that has 5 sections, each of which is 1_3/10 feet in width. What is the width of the entire window covering?
6_3/10 feet
6_1/2 feet
3_11/13 feet
5_3/10 feet
How many 3/4 are in 6?
8
6 3/4
4 1/2
24
Alberto runs 1_1/4 miles each day. How many miles will he run in 2 weeks? (1 week = 7 days)
17_1/2 miles
8_3/4 miles
15_1/4 miles
7_1/4 miles
Mrs. Webster wants to divide the milk shown into servings that are 2/3 of a pint in size. How many servings are possible?
9 servings
5 servings
4 servings
2 servings
Francesca took a quiz containing 12 items. If she got 5/6 of the 12 items correct, how many did she get correct?
10 items
11 items
9 items
8 items
2_1/2 a cantaloupe was shared by 3 people. How much cantaloupe did each person get?
5/6 cantaloupe
6 cantaloupes
3/5 cantaloupe
15/2 cantaloupe
Tom and Jerry ran a race. Tom ran 2_1/2 miles and Jerry ran 3 times as far as Tom. How many miles did Jerry run?
5_1/2 miles
6_1/2 miles
7_1/2 miles
8_1/2 miles
Kennedy has 13_1/3 feet of cardboard. She needs to divide it into 4 equal pieces for her science project. How long will each piece be?
17_1/3 feet
3_1/3 feet
9_1/3 feet
6 feet
Lori grew 14 tomato plants last year. This year she wants to grow 2_1/2 times as many. How many plants will she grow this year?
37 plants
34 plants
36 plants
35 plants
Trinity had 4_4/5 trays of pizza after her party. She wanted to give the leftovers to her 8 friends. If each friend gets an equal amount, how much pizza will each friend take home?
1_2/3 trays of pizza
3/5 trays of pizza
2_3/10 trays of pizza
4/5 trays of pizza
Stephanie has 3 43 bags of soil to put in her garden. Each bag will cover 125.3 ft. How many square feet will Stephanie be able to cover if she uses all the bags of soil?
469.875 ft
375.225 ft
407.225 ft
418.502 ft
Maya had 120 caramel apples sell. Each caramel apple is covered with one topping.
51 of the caramel apples are covered with peanuts
31 are covered with chocolate chips
103 are covered with coconut
The rest are covered with sprinkles
How many caramel apples are covered with sprinkles?
100
33
25
20
1 92
1 115
2 41
125
31×920
203
2 92
1 41
2720
6 17 ÷53
1 107
5 61
4 1813
323
180 minutes
100 minutes
200 minutes
300 minutes
