Pre-Algebra Test 2 Review

Why would the following answer be marked wrong? How should it be written?
-1x + 2xy

Just write -x + 2xy

True or False. The variable x, by itself, is the same thing as 1.

False

True or False: Any variable by itself, like x, has a 1 in front of it even if you don't see the one.

True

What is the coefficient of x/4?

1/4

What is the coefficient of 4x?

4

How many terms are in the expression that follows;
ab + xy + 3x + 4y + 9?

5

To give an example of an expression, you need to make sure and NOT write a(n) ???

equal sign

Which of the following is an example of an expression?
a + b = c
or
x + y

x + y

How do you rewrite 5/7 divided by 7 as a multiplication problem?

5/7 times 1/7

Any number divided by zero is...

undefined.

Zero divided by any number is ...

zero.

13 divided by 0 is...

undefined.

Write 3/10 times 2/21 in a way that looks normal on a sheet of looseleaf. The three could be changed to a ___ and the 21 to a ____ .

1, 7

Write 3/10 times (2/21) in a way that looks normal on a sheet of looseleaf. The ten could be changed to a ___ and the two to a ____ .

5, 1

What is the solution to 3/10 times (2/21)?

1/35

What fraction, with an x, has a coefficient of 1/23, but no 1?

x/23

How do you rewrite 6/5 divided by 8 as a multiplication problem?

6/5 times 1/8

How do you rewrite 9 divided by 2/3 as a multiplication problem?

9 times 3/2

To multiply fractions, do you cross multiply or multiply straight across?

You multiply straight across. You only cross multiply when there is an equal sign between the fractions.

To change 3/11 to a fraction with a denominator of 44, you should multiply the 3 by ____ ?

4

To change 5/9 to a fraction with a denominator of 81, you should multiply the 5 by ____ ?

9

To add or subtract fractions, you must make sure they have ___________ ______________ and then work with only the ______________ .

common denominators, numerators

Evaluate 1/3 minus 5/8.

The problem becomes 8/24 minus 15/24, or -7/24.

In the expression 11x + 13 y-squared, the 2 is a(n) _____________ and the 11 & 13 are __________________ .

exponent, coefficients

What eight-letter word ends in T and is another name for a number?

constant

What fraction, with an x, has a coefficient of 1/5 but no 1?

x/5

What are the coefficients of the following expression; 2x - y + 13xy?

2, -1, and 13

Simplify 4(x - 1) + 20.

4x + 16, or 16 + 4x

Simplify - 5(x + 5) + 1.

-5x - 24, or -24 - 5x

Simplify 3x + 4(x - 10) + 50.

7x + 10, or 10 + 7x

Simplify 35x + 3(x - 8) + 11.

38x - 13, or -13 + 38x

Simplify 20x + 10(x + 2) - 21.

30x - 1, or -1 + 30x

Simplify 5x + 3x(9) + 6.

32x + 6, or 6 + 32x

Simplify 3(1 - 4x ) - 2.

1 - 12x, or -12x + 1

Simplify (5 - 20x ) � -2.

-10 + 40x, or 40x - 10

Simplify (6 - 20x ) � -3.

-18 + 60x, or 60x - 18

Simplify (11 - 2x ) � -1.

-11 + 2x, or 2x - 11

Simplify (5 - 10x ) � -4.

-20 + 40x, or 40x - 20

Why is the equation racecar = racecar an example of the symmetric property?

It is the same forward and backward.

Why is the equation abc(3) = 3cba an example of the symmetric property?

The right side of the equation is a reversed version of the left side.

Why is the equation racecar = racecar also an example of the reflexive property?

It is exactly the same on both sides.

Which choice that follows is an example of the reflexive property?
2abc = abc(2)
it + was + great = great + it + was
3.14math = 3.14math

3.14math

Which choice that follows is an example of the commutative property of multiplication?
7(17)(10) = (7*10)(17)
3xyz = 3xyz
4 + 5 + 6ab = 6ab + 5 + 4
q(0) = 0
1/2 (2) = 1

7(17)(10) = (7*10)(17)

Why is the expression, 10(26)(3)(1/2), being solved as (26)(1/2)(3)(10) an example of the commutative property of multiplication?

The numbers moved around so that the problem could be solved for the same answer but in a different way.

Give a two-letter word, as well as a four-letter word, that is often written in an example of transitive property.

IF & THEN

-8(4) is the same as what addition problem that involves the same four negative numbers?

(-8) + (-8) + (-8) + (-8)

Writing 2(-1) = (-1) + (-1) = -2 helps explain what rule about multiplication?

a positive times a negative is a negative

Evaluate -10 - 10.

-20

Evaluate -10 - (-10).

0

Evaluate -10 + (-10).

-20

Evaluate 10 - (-10).

20

Evaluate 10 + (-10).

0

What is the simplest way to write -250 -(-530) so that it could be done by even a 4th grader?

530 - 250

What is the simplest way to write 37 -(-172) so that it could be done by even a 4th grader?

172 + 37

True or False. Never leave a lonely one all by itself in the denominator.

True. If all you have in the denominator is a 1, then there is no need to write the expression as a fraction.

How should -10x + - 8 be written before giving it as a final answer?

-10x - 8, or else - 8 - 10x

Simplify -x -(-y).

-x + y

Simplify -x + (-y).

-x - y

Simplify -1x + y.

-x + y

Simplify -x -1(xy).

-x - xy

Simplify x - (-xy) + (-y).

x + xy - y

Simplify -1xy + (-1x) - (-xyz).

-xy - x + xyz

Evaluate 20 - 33.

-13

Evaluate 13 - (- 14).

27

Evaluate -15 - (-15).

0

Evaluate 8(-2).

-16

Evaluate (-3)(-5).

15

Evaluate 25 divided by -5.

-5

Evaluate -30 / -6.

5

Evaluate -31 + (-9).

-40

Evaluate 4 - (-10).

14

Evaluate -1(3).

-3

Evaluate -10(-10).

100

Evaluate -21 divided by -3.

7

Evaluate -99 divided by 11.

-9

Once you get to this start, you have two choices while you are sitting in math class. You can go back and study these flash cards again, or you can study your practice test.

Okay.