Abeka 9th Grade Algebra 1 Test 1

Write this statement algebraically: The circumference C of a circle is equal to the product of π and the diameter d.

C = πd

Write this statement algebraically: 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 this statement algebraically: The perimeter of a rectangle is twice the sum of its length l and width w.

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

Which of the following is true for multiplying two signed numbers with opposite signs?

The product is negative.

a number's distance from zero is it's

absolute value

x + (y + z ) = (x + y ) + z

associative property

In the expression 6x² + 5, which of the following correctly identifies the 6?

coefficient

r (s + t ) = (s + t )r

commutative property

(a + b )c = ac + bc

distributive property

3/5(2/2)=3/5

identity property

3x + 0 = 3x

identity property

What type of number is √23?

irrational

Write this statement algebraically: The length l of a rectangle is equal to its area A divided by its width w.

l = A/w

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

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

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

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

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Simplify and reduce fractions (if any) to lowest terms: -3²/2³ + 1

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Simplify and reduce fractions (if any) to lowest terms: 3x + 2y + 5x − y

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Simplify and reduce fractions (if any) to lowest terms: 4 + 3² ÷ (-1)(4)(-2) − 1

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Simplify and reduce fractions (if any) to lowest terms: 5/12 + 1/12 − 1/4

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Simplify and reduce fractions (if any) to lowest terms: 8mn + 10 − 2(3mn − 1) + 2mn − 5 + 8

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Simplify and reduce fractions (if any) to lowest terms: a + [a + b − a − (2a − b)]

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quantities combined by only addition or subtraction are called

terms

an unknown value is a

variable

natural numbers and zero are

whole numbers

Write this statement algebraically: The sum of x and 3 is divided by 2

x + 3/2 OR (x + 3) ÷ 2

Which notation best represents the relationship between the two numbers plotted on the number line below? ---------- -1 ----------------------- 5 ------------------------

-1 < 5

What is the opposite of 6?

-6

Write this statement algebraically: Half of g multiplied by t squared is equal to d

1/2gt² = d

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

2

In the expression [1 + 7 * (2 − 9)] ÷ 3 + 12, which of the following operations is done first?

2 − 9

Write this statement algebraically: 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, which of the following is an exponent?

3