Evaluate Expressions
Evaluate the following expression for t= -4
t2 - 6
10
Solve the following equation for n
100-3n=76
n=8
Solve for x
12x+7=5x-21
x= -4
The length of a rectangle is three inches more than twice its width. Write an expression for the length of the rectangle in terms of w
length=2w+3
Simplify the expression
-5(x-3)+4(2x+5)
3x+35
Evaluate the following expression for x = -2
2x2 + 5x - 7
-9
Solve the following equation for x
5x - 12 = 43
x=11
Solve for x
4x-2=8x+22
x= -6
Camila has a younger brother and an older brother. One brother is 3 years younger than her and the other is 5 years older than her. The sum of their ages is 74. How old is Camila?
24 years old
How many solutions does the following equation have
5x+30 = 5x-30
No solution
Evaluate the following expression for x= 4
10(x+5)-3(x-2)
84
Solve the following equation for x
0.15x+7.8=8.19
x=2.6
Solve for x
6(3x-2) + x-8=2(4x-5)
x= ¹⁰⁄₁₁
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hotdogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hotdogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hotdogs. Set up an equation that the models the scenario and let n be the number of hamburgers.
6.25n+3.75(n+5)=58.75
Given the equation -4x+8 = ax+b, give a set of values for a and b that would cause this equation to equation to have infinite solutions
a= -4 and b=8
Evaluate the following expression for x = 2
5(x+7)-2(x-4)
49
Solve the following equation for x
¼ x + ⅘ = ¾
x= -⅕
Solve for x
5(2x+1)+6x-13=3(3x-2)
x = ²⁄₇
Susan, Ruthie, and Tom borrowed a total of 24 books from the library. The number of books that Susan borrowed was 1 less than the number that Tom got, and Ruthie borrowed 4 more books than Tom did. How many books did Susan borrow?
6 books
Does the expression x2+2x-5 have a positive or negative result when x= -6?
Positive
Evaluate the following expression for x = 4
x2+8(x+1)-6(x-5)
62
Solve the following equation for y
½ y +⅔ = ⅚
y=⅓
Solve for m
3(2x+7) = x-2(x-3)-41
x= -8
A group of friends went to the zoo. The number of children in the group was seven more than the number of adults. The price of each adult ticket was $13.75, and the price of each child ticket was $10.50. The total cost of admission for the group was $170.50. How many adults went?
4 adults
Pete is on his high school bowling team and scores an average of 135 pins per game. During the course of a match, he bowls a 146 in the first game and 135 in his second game. In his third game, he bowled 8 pins less than he did his fourth game. What were his scores in the third and 4th game?
3: 125.5
4: 133.5