Abeka Algebra 1 Test 1

Write the algebraic expression: The circumference C of a circle is equal to the product of π and the diameter d.

C=πd

Write the algebraic expression: The gross profit GP of an item equals the selling price p minus the cost of 2 dollars for producing the item.

GP=p-2

Write the algebraic expression: The perimeter of a rectangle is twice the sum of its length l and width w.

P=2(l+w) OR P=2l+2w

What is true for multiplying two signed numbers with opposite signs?

The product is negative.

What is a number's distance from zero called?

absolute value

What property is shown here: x + (y + z ) = (x + y ) + z

associative property

In the expression 6x² + 5, what is the 6 called?

coefficient

What property is shown here: r (s + t ) = (s + t )r

commutative property

What property is shown here: (a + b )c = ac + bc

distributive property

What property is shown here: 3/5(2/5)=3/5

identity property

What property is shown here: 3x + 0 = 3x

identity property

What type of number is √23?

irrational

Write the algebraic expression: The length l of a rectangle is equal to its area A divided by its width w.

l=A/w

What are quantities combined by only addition or subtraction called?

terms

An unknown value is called what?

variable

Natural numbers and zero are called what?

whole numbers

Write the algebraic expression: The sum of x and 3 is divided by 2

x + 3/2 OR (x + 3) ÷ 2

In the expression [1 + 7 · (2 − 9)] ÷ 3 + 12, which operation is done first?

(2 − 9)

Solve: -3²/2³+1

-1

What is the opposite of 6?

-6

Solve: a + [a + b − a − (2a − b )]

-a+2b

If a = -2, find the value of the expression | 2a + 5 |.

1

Write the algebraic expression: Half of g multiplied by t squared is equal to d

1/2gt²=d

Solve: 5/12 + 1/12 − 1/4

1/4

How many terms are in the expression 3x+5a/2y?

2

Write the algebraic expression: A piece of yarn 29 inches long is cut into two parts. If one of the resulting pieces is m inches long, represent the length of the other piece.

29-m

In the expression 2y − 7z³, what is the exponent?

3

Phil drove for 5 hours at 65 miles per hour. How far did he drive if d = rt ?

325 mi.

If x = -3 and y = 5, find the value of the expression 2x² + 4y − 5.

33

Solve: 8mn + 10 − 2(3mn − 1) + 2mn − 5 + 8

4mn+15

Find the value of A in the formula A = 1/2h (a + b ) when h = 6 in., a = 12 in., and b = 8 in.

60 sq.in.

Solve: 4 + 3² ÷ (-1)(4)(-2) − 1

75

Solve: 3x + 2y + 5x − y

8x+y