Algebra Chapter 1 Review

Expressions

100

Write the algebraic expression for: the quotient of 3 and y

3/y

200

Write the expression:  4 less than the product of 5 and x.

5x-4

300

Evaluate the expression when x= -4 and y= -6 

x² + 2y

(-4)² + 2(-6)

16 + (-12)

4

400

Simplify the expression: 

5 + (4-2)² - 6(3)

5 + 2² -6(3)

5 + 4 - 18

9-18

-9

500

Describe the difference between (-5)² and -5²

(-5)² = (-5)(-5)=25 while 

-5² = -(5)(5) = -25

Real Numbers

100

Estimate the square root of 52 to the nearest integer

7

200

What are all the subsets of the number 15

real

rational

integer

whole

natural

300

Is 6.44444... rational or irrational? Why?

Rational this repeating decimal can be changed to the ratio of 4/9

400

Name all the subsets for the square root of 12

Real

Irrational

500

Order these numbers from least to greatest:

Square root of 26,   -5.8,  -9/3,  6

-5.8,  -9/3,  Square root of 26 and 6

Properties

100

Fill in the blank and then name the missing property:

4 + ______ = 4

0,  identity property of addition

200

Fill in the blank and name the property. 

(6 x 8) x 10 = 6 x (_____ x 10)

8,   Associative property of multiplication

300

Use the distributive property to simplify:

-2(4x - 8)

-8x+16

400

Fill in the blank. Name this property.

3 + _______ = 14 + 3

14,   Commutative property of addition

500

Fill in the blank. Name the property.

7 x ______ = -7

-1, inverse property of multiplication or                the -1 property of multiplication

Simplify

100

Simplify: -17 + 12

-5

200

Simplify: -2.7/3

-0.9

300

-2/5 divided by 4/7

-7/10

400

Simplify:  6(x-7)-3(x+8)

3x-66

500

Write the fraction as a difference:

14-8y / 4

7/2 - 2y

Equation, Table Graph

100

Tell whether the given equation has this ordered pair as a solution 

y = -3x + 7        (3, 2)

no

2 does not equal -3(3)+7

200

Make a table for this relationship. Then write an equation

Peter sells watermelons for $4.50 each.

 x       y

1       4.50

2        9.00

3        13.50

y = 4.50x

300

Write an equation for this situation. Then solve.

Tara makes bracelets that cost $3 each. If she collected $36, how many bracelets did she sell?

3x = 36

x = 12

400

Plot these points on a coordinate plane

A(3, 5)        B( -2, -4)         C( 0, -2)     D(1,-4)

need to check

500

Bo makes $15 more per week than Sue. How can you represent this with an equation and a table?

Sue (x)         Bo (y)

25                 40

50                 65

75                 90

y = x + 15