Multiplying Linear Expressions Answers
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1
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A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other. The area of the rectangular table is represented by the expression .
A
Three-halves x squared
B
Three-halves x
C
Five-halves x squared
D
Five-halves x
2
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Find the product of 2.1n(6n + 3.4).
A
12.6n + 3.4B
8.1n + 3.4C
8.1n2 + 7.14nD
12.6n2 + 7.14n3
Which expression represents the product of and –8x?
A
negative 35 over 4 x
B
6xC
negative 35 over 4 x squared
D
6x24
Four students are simplifying the expression .Which student’s work is correct?
A
(negative 5 x)(4 over 5 x) minus 3. negative 5 times four-fifths times x times x minus 3. negative 4 x squared minus 3.
B
(negative 5 x)(four-fifths x) + (negative 5 x)(3). negative 5 times four-fifths times x times x + (negative 5) times 3 times x. Negative 4 x squared minus 15 x.
C
(negative 5 x)(four-fifths x) + (negative 5 x) (negative 3). (negative 5) times four-fifths times x times x + (negative 5) times (negative 3) times x. negative 4 x squared + 15 x.
D
(negative 5 x) (4 over 5 x) + (negative 5)(negative 3). negative 5 times four-fifths times x times x + 15. negative 4 x squared + 15.
5
Which expression represents ?
A
–8tB
46 over 5
C
46 over 5
D
–8t26
The table shows the multiplication of two linear expressions.
A
associative propertyB
commutative propertyC
distributive propertyD
simplify7
The steps for multiplying the linear expressions –2n and are shown.
A
associative propertyB
commutative propertyC
distributive propertyD
simplify8
Four students are simplifying the expression 5x(–3 – 7x). Which student’s work is correct?
A
5x(–3 – 7x) (5x)(–3) – 7x –15x –7xB
5x(–3 – 7x) (5x)(–3) – (5x)(7x) –15 – 35xC
5x(–3 – 7x) –3 + 5x – 7x –3 – 2xD
5x(–3 – 7x) (5x)(–3) + (5x)(–7x) –15x – 35x29
The steps for multiplying the linear expressions –9z and are shown.
A
associative propertyB
commutative propertyC
distributive propertyD
simplify10
Multiply .
A
9 over 4 y + 11 over 4
B
one-half y + 6 over 4
C
one-half y squared + 6 over 4 y
D
9 over 4 y squared + 11 over 4 y
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