Use the variable x for the unknown, and write an equation representing the verbal sentence. Then solve the problem.

102) Four times a number added to 7 times the number equals 33.

A) 7x + 4x = 33; 3

B) 4x(7 + x) = 33; -3

C) 7x – 4x = 33; 3

D) 4(x + 7) = 33x; -3

103) When 5 times a number is subtracted from 7 times the number, the result is 14.

A) 5x(7 – x) = 14; -7

B) 5x + 7x = 14; 2

C) 5(x – 7) = 14x; 2

D) 7x – 5x = 14; 7

104) If 5 times a number is added to -6, the result is equal to 11 times the number.

A) 5x + 6x = 11; 1

B) 5x + (-6) = 11x; -1

C) 11(5x – 6) = -6; -1

D) 5x – (-6) = 11x; 1

105) When (1/4) of a number is added to 24, the result is 27.

A) 24 + (1/4)x = 27; 12

B) 27 + (1/4)x = 24; 12

C) (1/4) + x = 27; 27

D) (1/4)x – 24 = 27; 204

106) When 50% of a number is subtracted from 70, the result is 2 less than the number.

A) 0.5x – 70 = x – 2; -136

B) 70 – 50 = x – 2; 22

C) 70 + 0.5x = x – 2; 144

D) 70 – 0.5x = x – 2; 48

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.

107) 7x – (6x – 1) = 2

A) Expression; 6x + 2

B) Expression; 2x + 6

C) Equation; {1}

D) Equation; {(1/13)}

108) 5(2x – 5) = 9(x + 2)

A) Expression; 9x + 5

B) Expression; 9x – 5

C) Equation; {7}

D) Equation; {43}

109) -7(10x + 10) + 10(10x + 3)

A) Expression; 3x + 3

B) Equation; {30}

C) Expression; 30x – 40

D) Equation; {-140}

110) 3(x + 7) – 4(x – 8) = 0

A) Equation; {53}

B) Equation; {-11}

C) Expression; 3x – 8

D) Expression; 3x + 4

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