Simplify
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Word Problems
100
Simplify the Expression
5y – x – 3y + 7x - 9y
6x - 7y
100
Expand the expression:
-0.5(-8h + 14g)
4h - 7g
100
Factor the expression completely
16x + 22
2 (8x + 11)
100
Translate the sentence to a numerical expression
Raise z to the 7th power, then add y to the result
z7 + y
100
A cell phone company charges $40 per month plus a one time $35 activation fee. Write an expression for the total cost for m months.
40m + 35
200
Simplify the expression
-7x^2-6x+10x^2-3-2x
3x^2-8x-3
200
Expand and simplify
-4(1 + 6f) - 10
After being expanded, it would be:
-4 - 24f - 10
So the final solution is:
-24f - 14
200
Factor the expression completely
14 + 42p - 35
7(2 + 6p - 5)
200
Translate the sentence to a numerical expression:
Add q and p, then subtract 5 from the result
(q + p) - 5
200
A rectangle has side lengths of 18x - 3 and 12y + x
What is the total perimeter?
There would be 2 of each side length, so the perimeter would be:
38x + 24y - 6
300
Write the perimeter of the rectangle as an algebraic expression
18x + 10
300
Expand and simplify
-2(5y + 7) - 11y + 12
After expansion:
-10y - 14 - 11y + 12
After simplifying:
-21y - 2
300
Factor the expression completely
-5v - 15t
-5 (v + 3t)
300
Translate the sentence to a numerical expression
Triple the sum of 6 and w
3 (6 + w)
300
Lunch in the cafeteria costs y dollars. Grayson buys lunch each day in the cafeteria using a $5 off coupon. Write an expression to represent his total cost if he purchases lunch using a coupon for 5 days in a row.
Cost of lunch after coupon:
y - 5
Cost of discounted lunch for 5 days
5(y - 5)
400
Write the perimeter of the rectangle as an algebraic expression
12x - 10
400
Expand and simplify
4 ( 3x + 4 ) - 5 ( x - 7 )
When expanded:
12x + 16 - 5x + 35
The final solution is:
7x + 51
400
Factor the expression completely
-14g - 21p + 49
-7 (2g + 3p - 7)
400
Translate the sentence to a numerical expression
Raise x to the 5th power, triple the result, then add n to what you have
3x5 + n
or
3(x5) + n
400
A triangle has a side length of 12n. The other 2 sides are each twice the size of the first side. What is the total perimeter?
The side lengths would be 12n, 24n, and 24n so the perimeter would be:
60n
500
Jenna’s age is represented by the expression 5c+3. Her brother Nick is 4 years younger than her. Their youngest brother, Tim, is x years younger than Jenna and Nick's combined age.
Write an algebraic expression to represent Tim's age.
Jenna = 5c + 3
Nick = (5c + 3) - 4 or 5c - 1
Jenna and Nick combined would be 10c + 2
So, Tim would be 10c + 2 - x
500
Expand and simplify
-6( 3x + 2) - 8( x - 10)
When expanded:
-18x - 12 - 8x + 80
The final solution is:
-26x + 68
500
Write 3 possible factored forms of this expression using integers only, one of them must be a negative.
-6y - 24
Possible answers
-3 (2y + 8) 3 (-2y - 8)
-2 (3y + 12) 2 (-3y - 12)
-6 (y + 4) 6 (-y - 4)
etc
500
Aaron is 2x years old. Anna is y years younger. Write an expression to represent their combined age
Aaron = 2x
Anna = 2x - y
Combined = 4x - y
500
Harry collected a, apples. Francine collected 5 less than twice the number of apples Harry collected.
Write an expression to represent how many apples they collected in total.
Harry = a
Francine = 2a - 5
Combined = 3a - 5