Quiz about Writing Algebraic Expressions & Equations

Question 1

Write an equation for each sentence:

8 less than a number is 5

Accepted Answer

$$x-8=5$$

Answer

$$8-x=5$$

Answer

$$x-5=8$$

Answer

$$5-x=8$$

Question 2

Write an algebraic expression for each phrase:

the difference between 7 and - 16

Accepted Answer

$$7-(-16)$$

Answer

$$-7-16$$

Answer

$$-7+(-16)$$

Answer

$$-16-7$$

Question 3

Write an algebraic expression for each phrase:

-9 less than -4

Accepted Answer

$$-4-(-9)$$

Answer

$$-9-(-4)$$

Answer

$$-4-9$$

Answer

$$-9-4$$

Question 4

Write an algebraic expression for each phrase:

5 less than the difference between 2 and 8

Accepted Answer

$$\left(2-8\right)-5$$

Answer

$$\left(-2-8\right)-5$$

Answer

$$-5-\left(2-8\right)$$

Answer

$$-5+\left(-2-8\right)$$

Question 5

Write an algebraic expression for each phrase:

12 less than the difference between 10 and -4

Accepted Answer

$$[10-(-4)]-12$$

Answer

$$[10+(-4)]-12$$

Answer

$$-12-[10-4]$$

Answer

$$12-[10-(-4)]$$

Question 6

Write an algebraic expression for each phrase:

-12 added to the sum of -9 and -4

Accepted Answer

$$-12+\left[\left(-9\right)+\left(-4\right)\right]$$

Answer

$$-12+\left[\left(-9\right)+4\right]$$

Answer

$$-12+[9+(-4)]$$

Answer

$$\left(-12+19\right)+(-4)$$

Question 7

Write an algebraic expression for each phrase:

the sum of 9 and -3, decreased by 6

Accepted Answer

$$[9+(-3)]-6$$

Answer

$$[9-(-3)]-6$$

Answer

$$-9+(-3)-6$$

Answer

$$6-[9+(-3)]$$

Question 8

Write an algebraic expression for each phrase:

12 less than the sum between 10 and -4

Accepted Answer

$$[10+(-4)]-12$$

Answer

$$[10-(-4)]-12$$

Answer

$$12-(10-4)$$

Answer

$$12-[10-(-4)]$$

Question 9

Write an algebraic expression for each phrase:

the difference of 9 and -3, decreased by 6

Accepted Answer

$$[9-(-3)]-6$$

Answer

$$[9+(-3)]-6$$

Answer

$$-9+[(-3)-6]$$

Answer

$$6-[9+(-3)]$$

Question 10

Write an algebraic expression for each phrase:

12 added to the difference of -19 and -4

Accepted Answer

$$12+[-19-(-4)]$$

Answer

$$12+[(-19)-4]$$

Answer

$$12+[-19+(-4)]$$

Answer

$$\left(12+19\right)+(-4)$$

Question 11

Write an algebraic expression for each phrase:

7 more than the sum of -12 and 5

Accepted Answer

$$7+(-12+5)$$

Accepted Answer

$$(-12+5)+7$$

Answer

$$(-12+5)-7$$

Answer

$$7+(-12-5)$$

Question 12

Write an algebraic expression for the phrase:

Nine less the product of 5 and -3

Accepted Answer

$$9-\left[5(-3)\right]$$

Answer

$$9+\left[5(-3)\right]$$

Answer

$$\left[5(-3)\right]-9$$

Answer

$$\left[-3(-5)\right]-9$$

Question 13

Write an algebraic expression for the phrase:

The quotient of 10 and the sum of 6 and -2

Accepted Answer

$$\frac{10}{6+\left(-2\right)}$$

Answer

$$\frac{10}{6}+\left(-2\right)$$

Answer

$$\frac{10+6}{-2}$$

Answer

$$\frac{6+\left(-2\right)}{10}$$

Question 14

Write an algebraic expression for the phrase:

Nine less than the product of 5 and -3

Accepted Answer

$$\left[5(-3)\right]-9$$

Answer

$$9+\left[5(-3)\right]$$

Answer

$$\left[-3(-5)\right]-9$$

Answer

$$9-\left[5(-3)\right]$$

Question 15

Write an algebraic expression:

A number multiplied by 8, subtracted from the sum of 9 and twice the number

Accepted Answer

$$\left(9+2x\right)-8x$$

Answer

$$8x-(9+2x)$$

Answer

$$\left(2x+8x\right)-9$$

Answer

$$-\left(9+2x\right)\ +8x$$

Question 16

Write an algebraic expression:

Five times a number, added to the sum of the number and three

Accepted Answer

$$5x+\left(x+3\right)$$

Answer

$$5x\ +\ 3x$$

Answer

$$\left(x+3x\right)\ +5$$

Answer

$$5\ +\left(3+x\right)$$

Question 17

Write an equation for the sentence:

Four times a number, subtracted from the difference of 7 and the number

Accepted Answer

$$\left(7-x\right)-4x$$

Answer

$$x-(7+4x)$$

Answer

$$-\left(7+4x\right)\ +x$$

Answer

$$\left(7-4x\right)-x$$

Question 18

Write an algebraic expression:

A number is multiplied by 4, subtracted from the sum of 7 and the number

Accepted Answer

$$\left(7+x\right)-4x$$

Answer

$$x-(7+4x)$$

Answer

$$-\left(7+4x\right)\ +x$$

Answer

$$\left(7+4x\right)-x$$

Question 19

Write an equation for each sentence:

the quotient of a number and 3 is -12

Accepted Answer

$$\frac{x}{3}=-12$$

Answer

$$\frac{3}{x}=-12$$

Answer

$$3x=-12$$

Answer

$$x=-\frac{12}{3}$$

Question 20

Write an equation for each sentence:

when 4 is added to the number, the result is -9

Accepted Answer

$$4+x=-9$$

Answer

$$x+4=9$$

Answer

$$x+\left(-9\right)=4$$

Answer

$$-9+x=4$$

Writing Algebraic Expressions & Equations

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