# Simplifying numerical expressions, math 208

Name_________________________________________ Date:___________________________

Math 208 Quiz # 1

1. Evaluate: 21 3 - 3 + 3

A. 7 B. 5 C. 8 D. 6

Solution

21 3 - 3 + 3 = 7 - 3 + 3

= 7

2. One recipe calls for teaspoon vanilla. A second recipe requires for teaspoon vanilla, and a third recipe calls for teaspoon vanilla. How much vanilla is required to make all three recipes?

A. teaspoon B. teaspoon C. teaspoon D. teaspoon

Solution

We have to add all the three fractions

Â¼ + Â½ + 1/8 = (2+4+1)/8 [LCD is 8]

= 7/8

3. Evaluate the expression for the given value

Solution,

Plug in x = 4 in the given expression, we get

= 7(4)/(4 - 2) = 28/2 = 14

4. Translate the phrase "seven less than twice a number" to an algebraic expression.

Solution

Let "x" be a number.

Twice the number is 2x.

Seven less than twice a number is 2x - 7.

5. Simplify to lowest terms.

Solution

Here greatest common factor 18 and 48 is 6, Dividing the numerator and the denominator by 3, we get

48/18 = 8/3

Evaluate the following expression. Write your answer in lowest terms.

6.

Solution:

Multiply the numerators and the denominators, we get

= 35/20

The greatest common factor is 5, dividing by 5 both the numerators and the denominators, we get

= 7/4

7.

Solution

If we have fraction divide the fraction, we can flip the second fraction and multiply with the first fraction.

So 14/3 x 9/7 = 2 x 3 = 6

8.

Solution:

LCD of 3 and 9 is 9

So, 2/9 - 2/3 = (2 - 6)/9

= -4/9

Evaluate each expression

9.

Solution:

3-2.3 = 3 - 6

= -3

10.

Solutino

= 3 + 2.9/3

= 3 + 18/3

= 3 + 6

= 9

11. Insert the symbol > or < to make the statement true.

12. Simplify the expression 5 - (7 + 3x) + x

Solution

5 - (7 + 3x) + x = 5 -7 - 3x + x [Distributed the negative sign]

= -2 - 2x

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#### Solution Preview

Please see the attachment.Name_________________________________________ Date:___________________________

Math 208 Quiz # 1

1. Evaluate: 21 3 - 3 + 3

A. 7 B. 5 C. 8 D. 6

Solution

21 3 - 3 + 3 = 7 - 3 + 3

= 7

2. One recipe calls for teaspoon vanilla. A second recipe requires for teaspoon vanilla, and a third recipe calls for teaspoon vanilla. How much vanilla is required to make all three recipes?

A. teaspoon B. teaspoon C. teaspoon D. ...

#### Solution Summary

Simplification of numerical expressions, fractions, translating expressions, multiplying fractions, subtracting fractions and dividing fractions.