Skills Practice # 1
Math
Grade 7
Expressions and Equations
DIRECTIONS: Read the problems below. Put your answers in the spaces provided.
1.
Which expression is equivalent to (3x + 5) + (4x + 2) ?
A.
4x + 3
B.
7x + 3
C.
7x + 7
D.
8x + 3
2. Write an expression that is equivalent to
(2x + 3) + (4x + 6) – (x + 4)
3. Which expression is equivalent to 30m – 3(6m + 2) ?
A.
6m(5 – 3) – 6
B.
6m(5 + 3) – 6
C.
6m(5 – 3) + 6
D.
6m(5 + 3) + 6
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4. Write three expressions that are factors of
36xb + 48xbc – 30xb
2
5. Which two expressions are equivalent to (25b + 10 – 5b)?
5
A.
5b + 2 – b
B.
8b + 4
C.
10b + 4 + 2b
D.
10b + 4 – 2b
E.
12b + 4
6. Write an expression that is equivalent to
3(2a – b) + 2(b + 3) – 3(x + 4)
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7.
New sections are added to the length of a path as shown in the expression below.
1
(18x – 12) + 3(x + 2) + (x + 2) + (6x – 4)
3
Which expressions are equivalent to the path length?
Select all that apply.
A.
8(2x – 1)
B.
16x
C.
16x – 8
D.
(6x – 6) + (10x + 2)
E.
2(6x – 4) + 4(x + 2)
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8. Four students who are preparing to hike want to compare the weight of their
backpacks. Each student gives the results of the weight his/her backpack in an
expression. The results are shown in the table below.
Part A
Kelly and Alex are upset when they see this table because they think Chris and
Maggie are slacking. Chris will only say that his backpack weighs between 5 and
15 lbs. Maggie is keeping quiet.
Write at least two expressions that are equivalent to the total weight.
Student
Backpack Weight (in lbs.)
x+5
3x – 15
2x + 10
5x – 25
Chris
Maggie
Kelly
Alex
Part B
Together the students decide to redistribute the weight fairly for each student.
Solve one of the expressions and find an equal weight for each student.
Show your work to convince the students that the redistribution is now fair.
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