Translating
Write an algebraic expression for the verbal expression.
____
1. the product of 17 and a number
a. 17  y
b. 17 – y
c. 17  y
d. y  17
____
2. 35 less the product of 4 and x
a. 35 + 4x
b. 4x 35
c. 35  4x
d. 35 – 4x
Write a verbal expression for the algebraic expression.
____
____
3. 12x
a. the sum of x and 12
b. the difference of 12 and x
4.
a. 4 times 5
b. four to the fifth power
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____
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c. the product of 12 and x
d. the quotient of 12 and x
c. 4 divided by 5
d. five to the fourth power
5.
a.
b.
c.
d.
5 times x squared less 2
five plus x squared plus 2
the product of 5 times x squared and 2
five times x squared plus 2
a.
b.
c.
d.
x cubed times y to the fifth power
x squared times y to the fifth power
the quotient of x cubed and y to the fifth
the sum of x squared and y to the fifth
a.
b.
c.
d.
the difference of 8 times y squared and 3
the quotient of 8 times y squared and 3
the sum of 8 times y squared and 3
8 y squared minus three
a.
b.
c.
d.
2 times x squared minus 4 times x
2 times x cubed increased by 4 times x
the sum of 2 times x cubed and 4 times x
2 times x cubed minus 4 times x
6.
7.
8.
9.
a. 9 times m to the fourth power decreased by 7 times n squared
b. the difference of 9 times m to the fourth power and 7 times n squared
c. 9 times m to the fourth power increased by 7 times n squared
d. the quotient of 9 times m to the fourth power and 7 times n squared
____ 10.
a.
b.
c.
d.
six divided by 5 times x to the fourth power
the quotient of 5 times x to the fourth power and 6
the product of 5 times x to the fourth power and 6
the sum of 5 times x to the fourth power and 6
a.
b.
c.
d.
the sum of three-fifths and two
the difference of three-fifths and two
the product of three-fifths and two
the quotient of three-fifths and two
____ 11.
____ 12.
a. 4 plus a to the sixth power
b. 4 divided by a to the sixth power
c. 4 minus a to the sixth power
d. 4 times a to the sixth power
Evaluate the expression.
____ 13.
a. 50
b. 106
____ 14. 54 – 3(8 – 4)
a. 204
b. 42
c. 88
d. 90
c. 26
d. 90
____ 15. Evaluate the following expression if a = 12, b = 5, and c = 4.
3c + bc – 2a
a. 67
c. 8
b. 132
d. 84
____ 16. Evaluate the following expression if x = 12, y = 8, and z = 6.
a. 1140
b. 21
c. 285
d. 1296
Translate the sentence into an equation.
____ 17. Four times the number x increased by 15 is 83.
a.
c.
b.
d.
____ 18. Eighty-five minus five times x is equal to ten.
a.
c.
b.
d.
____ 19. The sum of one-fifth p and 38 is as much as twice p.
a.
c.
b.
d.
____ 20. Fourteen minus four times y is equal to y increased by 4.
a.
c.
b.
d.
____ 21. The difference of five times the cube of x and two times the square of x is 18.
a.
c.
b.
d.
____ 22. The product of five and four more than x is 60.
a.
c.
b.
d.
____ 23. Four less than the product of eight and the number g is equal to ten more than g.
a.
c.
b.
d.
____ 24. Nine less than the product of three and the number x is equal to one-half the sum of x and 12.
a.
c.
b.
d.
____ 25. Three times the sum of a and b is equal to five times c.
a.
c.
b.
d.
____ 26. The number x divided by the number y is the same as six less than three times the difference of x and y.
a.
c.
b.
d.
Translate the equation into a verbal sentence.
____ 27.
a. A number x minus 18 is 12.
b. A number x plus 18 is 12
c. A number x divided by 18 is 12
d. A number x minus 12 is 18.
____ 28.
a.
b.
c.
d.
Three times a number y minus 8 equals 32.
Three times a number y plus 8 equals 32.
Three times a number y times 8 equals 32.
Three times a number y divided by 8 equals 32.
a.
b.
c.
d.
x decreased by six equals y divided by three.
The sum of x and six is equal to y divided by three.
x increased by six is equal to three less than y.
Six less than x is as much as y divided by 3.
____ 29.
____ 30.
a.
b.
c.
d.
Five less than the product of two and v minus three is equal to w divided by four.
Five more than the product of two and v plus three is equal to w divided by four.
Five more than the product of two and v minus three is equal to w divided by four.
Five more than the sum of two and v minus three is equal to the quotient of w and four.
a.
b.
c.
d.
Eight plus x is the same as two.
x minus eight is the same as two.
Eight increased by x is the same as two.
Eight minus x is the same as two.
a.
b.
c.
d.
Three times c plus the difference of c and four is 127.
Three times c plus the sum of c and four is 127.
Three plus c plus the sum of c and four is 127.
Three times c plus the product of c and four is 127.
____ 31.
____ 32.
Translatiing
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