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Example Questions
Example Question #71 : Expressions
If , then
equals?
When substituting for
in the provided equation, we get
,
which can be simplified to
, or
.
Example Question #71 : Expressions
In which month has Abraham collected the most stamps?
May
July
October
November
April
May
May corresponds to the month Abraham collected the most stamps, adding 24 to his collection. April, July, October, and November correspond to 18, 6, 21, 12, respectively.
Example Question #73 : Expressions
A company establishes a rewards program such that the bonus received by an employee is given by the model , where
is the number of sales an employee completed. If Alex earned $2700 at the end of the month, how many sales has he completed?
Alex’s bonus of
Example Question #2466 : Act Math
, then
. Thus
Example Question #2467 : Act Math
Evaluate the folling expression given .
To evaluate, simply plug in for
. Thus:
Example Question #1 : How To Simplify An Expression
What is the value of x when 2x - 7 = -5x + 28
7
-7
-5
5
5
We need to solve for x. To do so, first move the x values to the left of the = sign and all other values to the right. 2x + 5x = 28 + 7. Then add like terms: 7x = 35. In order to get x all by itself, we then divide both sides by 7. X = 5.
Example Question #2 : Simplifying Expressions
If 4x – 6 = 18, what is 3x3 – 4x + 1?
625
97
-1
300
625
First we have to solve for x using the first equation:
4x-6 = 18
4x = 24
x = 6
Next, we have to plug in our value for x into the second equation:
3(6)3 – 4(6) + 1
3 (216) – 24 +1 = 625
Example Question #3 : Simplifying Expressions
What is the value of z when 2z + 3 = 3z – 5?
4
1/8
-8
8
8
Solve one equation with one variable by moving the constants to one side of the equal sign and the variables to the other. 2z + 3 = 3z – 5 is solved by adding 5 -2z to both side of the equation and ending up with z = 8
Example Question #4 : Simplifying Expressions
Given that 3x + 7 = 4x – 2, what is the value of x ?
5/7
9/7
1
9
9
First, we must solve the equation for x by subtracting 3x from both sides:
3x – 3x + 7 = 4x – 3x – 2
7 = x – 2
Then we must add 2 to both sides:
7 + 2 = x – 2 + 2
9 = x
Example Question #1 : Simplifying Expressions
If a = 4 and b =3 then: 2a2 + 3ab – 7 is?
73
– 2
61
37
61
Substitute the values of a and b into the equation. Then
2a2 + 3ab – 7
(2 x 42 ) + (3 x 4 x 3) – 7
(2 x 16) + (36) -7
32 + 36 – 7
61
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