Fall, Test 2 (Review)

What is a two-letter word and a four-letter word that is often written in an example of transitive property?

IF & THEN

How can you double-check an answer like the last one (that read 2 times the square root of 53)? Hint: Give an answer that doesn't have to involve a calculator.

Square the outside number and take it times the inside number. It should give you the original radicand.

On a sheet of paper, write a fraction that looks as follows: The numerator should read 13abc - 13a. The denominator should read -abc. Simplify the fraction.

The new numerator would say -13bc + 13. The denominator would be bc. (Remember - if you can get rid of a negative in the denominator, do it.)

What is a radicand?

The number inside the square root sign.

On a sheet of paper, write a fraction that looks as follows: The numerator should read 5xyz - 25xyy. The denominator should read 5xyy. Simplify the fraction.

The numerator should read z - 5 and the denominator should just be y.

Evaluate 1/3 minus 5/8.

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

13 divided by 0 is...

undefined.

Simplify - 5(x + 5) + 1.

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

Evaluate -10 - (-10).

0

Evaluate 10 + (-10).

0

Simplify 4(x - 1) + 20.

4x + 16, or 16 + 4x

What is the fastest way to determine the answer to the following? (It may be easier to write this out on paper.) 5 times Radical 6 times 3 times Radical 6 This question is NOT asking for the answer! Re-read if you thought you were suppose to give the answer.

5(3)(6)

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

530 - 250

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

6/5 times 1/8

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)

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

7x + 10, or 10 + 7x

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

9

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

9 times 3/2

Why is the square root of 3 times the square root of 3 a "regular" 3? Choose the best answer. a. Because the square root of 9 is 3. b. Because of the trick. c. Because radicals cancel each other out.

A

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

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

30x - 1, or -1 + 30x

If you are asked to find the product of "the square root of 2 time the square root of 16", you are actually being asked to find the square root of what two-digit number?

32

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

32x + 6, or 6 + 32x

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

38x - 13, or -13 + 38x

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

4

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

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

What is the equivalent of a fraction made from a radical put over itself?

1

What is the solution to the square root of 23 divided by the square root of 23?

1

What is the square root of 7 divided by the square root of 7?

1

Simplify 3(1 - 4x ) - 2.

1 - 12x, or -12x + 1

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

You can simplify the square root of 7/700 so that really you are just finding the square root of what fraction?

1/100

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

1/35

***The square root of 100 and *** the product of the square root of 10 times the square root of 10 .... both have what answer?

10

The square root of 4 times the square root of 4 is actually the same as asking for the square root of what number?

16

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

172 + 37

What is the product of primes for 80? (Write them in ascending order - from least to greatest.)

2(2)(2)(2)(5)

Some Algebra 1 students have known for a long time that the square root of 36 is 6. However, now we all know WHY that is true. What are the four numbers that make up the radicand for 36?

2(3)(2)(3)

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

2, -1, and 13

Evaluate 10 - (-10).

20

The square root of 5 times the square root of 5 has the same answer as the square root of what number?

25

True or False: You can have a final answer with a radical in the denominator.

False!

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

It is exactly the same on both sides.

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

It is the same forward and backward.

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

common denominators, numerators

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

x/23

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

x/5

Zero divided by any number is ...

zero.

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

5/7 times 1/7

Some Algebra 1 students have known for a long time that the square root of 36 is 6. However, now we all know WHY that is true. The four numbers that make up the radicand for 36 are 2, 3, 2, and 3. This means the 2's and 3's on the inside become what final answer on the outside????

SIX

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.

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

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

Simplify (5 - 20x ) · -2.

-10 + 40x, or 40x - 10

Simplify (11 - 2x ) · -1.

-11 + 2x, or 2x - 11

Simplify (6 - 20x ) · -3.

-18 + 60x, or 60x - 18

Evaluate -10 + (-10).

-20

Evaluate -10 - 10.

-20

Simplify (5 - 10x ) · -4.

-20 + 40x, or 40x - 20

Some Algebra 1 students have known for a long time that the square root of 36 is 6. However, now we all know WHY that is true. The four numbers that make up the radicand for 36 are 2, 3, 2, and 3. This means the 2's and 3's on the inside become what two numbers move to the outside?

a 2 and a 3

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

a positive times a negative is a negative

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

constant

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

exponent, coefficients

What is the solution to the square root of 17 divided by 1?

the square root of 17

Any number divided by zero is...

undefined.