Test 2 Review
-8(4) is the same as what addition problem that involves the same four negative numbers?
(-8) + (-8) + (-8) + (-8)
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
Simplify - 5(x + 5) + 1.
-5x - 24, or -24 - 5x
Evaluate -10 - (-10).
0
Evaluate 10 + (-10).
0
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 prime numbers that make up the radicand for 36?
2(3)(2)(3)
What are the coefficients of the following expression; 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
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
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
How do you rewrite 5/7 divided by 7 as a multiplication problem?
5/7 times 1/7
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
True or False: You can have a final answer with a radical in the denominator.
False!
True or False: 3x + 27 can be re-written as x + 9.
False. You could only divide everything by 3 if it were a fraction.
Give a two-letter word, as well as a four-letter word, that is often written in an example of transitive property.
IF & THEN
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.
Why would the following answer be marked wrong? How should it be written? -1x + 2xy
Just write -x + 2xy
If you are in math class when you get to this slide, you have two choices - repeat these questions again or study the practice test. This set of questions alone is not enough to prepare you for the test. You should also be studying your practice test.
Okay! :)
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
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.
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.
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 - 5y and the denominator should just be y.
Evaluate 1/3 minus 5/8.
The problem becomes 8/24 minus 15/24, or -7/24.
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.
True or False (circle one): If possible, get rid of negatives in the denominator before giving your final answer.
True!
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.
True or False: 5x + 25 is simplified.
True. You cannot divide both terms by 5 since the expression is not a fraction.
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.
Which statement is true? a) You should break down every variable with exponents and also break every composite number in to primes if you continually miss the problems involving simplifying fractions. b) Breaking down variables and composite numbers was only necessary to understand simplifying of fractions and should not be used otherwise.
a
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 moved 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
To add or subtract fractions, you must make sure they have ___________ ______________ and then work with only the ______________ .
common denominators, numerators
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
13 divided by 0 is...
undefined.
Any number divided by zero is...
undefined.
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.