Miss Antonucci's Math Lab Midterm Review

Expressions or Inequalities

100

Simplify:

-6x + 5 - (-3x)

-6x + 5 - (-3x)

= -6x + 5 + 3x

= -3x + 5

200

Graph:

x < 3

Open circle on 3. Arrow pointing to the left.

300

Simplify:

|-12| + 2³

|-12| + 2³

= 12 + 8

= 20

400

Solve:

x + 5 > -12

x + 5 > -12

    -5     -5

___________

x > - 17

500

Evaluate for x = 4

x² - 3

4² - 3 = 13

Equations or Properties

100

Name the property:

x + y = y + x

Commutative Property

200

Solve:

-1x + 4 = 5

-1x + 4 = 5

       -4      -4

____________

-1x = 1

/ -1     /-1

x = -1

300

Name the property:

2 (x + 3) = 2x + 6

Distributive Property

400

5x + 20 = 6x - 5

x = 25

500

5 + (4 + 2) = (5 + 4) + 2

 Associative Property

Scientific Notation or Exponent rules

100

x⁰

1

200

Write in standard form:

2.3 x 10³

2,300

300

3⁴ * 3⁵

3⁹

400

Write in scientific notation:

0.00042

4.2 x 10^-4

500

12x + 3y - 5x + 2y

7x + 5y

Fraction to Decimal or Rational vs. Irrational

100

Convert to a decimal:

3 / 9

0.33333333 repeating

200

Rational vs. Irrational:

Square root of 16

Rational

300

Convert to a decimal:

7 / 8

0.875

400

Rational or Irrational:

the number pi = 3.14159265.....

Irrational

500

Convert to a decimal and then decide if it is rational or irrational:

3 / 4

0.75

Rational

Translate or Fractions:

100

Translate:

a plus 7

a + 7

200

Add these fractions:

3 / 4 + 2 / 8

8 / 8 = 1 

300

Translate:

the sum of 3 and 4 is 7

3 + 4 = 7

400

Subtract these fractions:

3 - 1/7

20 / 7

500

Translate:

the variable, m, raised to the power of 85

m⁸⁵