Part I – Simplifying Expressions

Simplify the following expressions:

13t (2+4)−5t + 15



-2 (3y + 5) – 2




Part II– Evaluating Expressions/Equations

True or False?

Each question below shows an equation and a value for x. Which of the following are true?

1. If 2(x−3)=−10 , then x=2.

2.
If 6x−2=20 , then x=− 3.

3. If 8(x+5)=48 , then x=1.

4.
If 2x+5=−5, then x=−5.



Page Break
Part III – Solving Equations and Inequalities

Solve the equation x – 23.25 = 22.4





Solve 23 - 3n = 26.


Solve −2 − 5x ≥ 28

Answer:

73t + 15 & -16y - 2 // 3 & 4 // x = 45.65 & n = -1 & x ≤ -6

Step-by-step explanation:

Part 1:

13t(2+4)-5t + 15

use the distributive property and multiply your variable through the parentheses

( (13t x 2) + (13t x 4) ) -5t + 15

multiply the coefficient through

(26t + 52t) -5t +15

add the like terms within the parentheses first

78t - 5t + 15

add like terms as a whole since parentheses is done and simplify

73t + 15

-2(3y + 5) -2

apply the distributive property and multiply the coefficient

( (-2 x 3y) + (-2 x 5) ) -2

multiply through and add terms within parentheses

(-6y - 10y) -2

add like terms together within parentheses and then simplify the final expression

-16y - 2

Part 2:

apply the distributive property and solve normally each equation and see if the value of x given is true or plug in the x value that they give you and see when plugged in if the output is the same as the one shown

3. is true

plug in technique

8(1 + 5) = 48 (add like terms)

8(6) = 48 (multiply)

48 = 48 (check)

4. is true

plug in technique

2(-5) + 5 = -5 (multiply given value of x with coefficient)

-10 + 5 = -5 (add like terms and simplify)

-5 = -5 (check to see if true)

Part 3:

for all 3 equations, follow the order of operations or PEMDAS and simplify and combine like terms and solve for the given variable

a) x - 23.25 = 22.4 (add 23.25 to the other side and same side to get x alone)

x = 45.65

b) 23 - 3n = 26 (subtract 23 to get 3n alone from 26)

-3n =  3 (divide by -3 to get n alone from 3 --> 3/-3)

n = -1

c) -2 -5x ≥ 28 (add positive 2 to the other side of the inequality sign to get -5x alone)

-5x ≥ 30 (divide by -5 but since you are dividing by a negative you have to flip the sign)

x ≤ -6

Martin took a math test last week. He answered 17 correctly and 3 incorrectly. What percentage of questions did Martin answer correctly?

How many fifths are in 1.8?
4 fifths
16 fifths
5 fifths
8 fifths
9 fifths
33.
How many thirds are in -3 2/3
9 thirds
2 thirds
5 thirds
11 thirds
34.
Write as a decimal. 2 7/100
-2.007
-2.7
-2.07
35.
Write as a decimal. 7/8
0.875
0.825
0.75
0.80
36.
Write as a decimal. 21/30
-0.75
-21.30
-0.30
-0.21
-0.7

Reid and Maria both play soccer. This season, Reid scored 4 less than twice the number of goals that Maria scored. The difference in the number of goals they scored was 6. How many goals did each of them score?

a.
Reid scored 8 and Maria scored 2.

b.
Reid scored 2 and Maria scored 8.

c.
Reid scored 16 and Maria scored 10.

d.
Reid scored 10 and Maria scored 16.

Select the expression that is the multiplicative inverse of n, where n is a non-zero number. A. 1/n B. -n C. -1/n D. 2n

Express 1start fraction 1 over 20 end fraction as a decimal.

A. 1.1
B. 1.05
C. 1.5
D. 1.2

Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register
#1. $3,497.22;
#2. $2,259.86;
#3. $4,178.40;
#4. $2,863.17;
#5. $4,888.33. What were the total cash
receipts for Saturday?

Choose the expression that correctly compares 0.720 and 0.7200.
0.720 > 0.7200
0.720 = 0.7200
0.720 < 0.7200

A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour period?

The ant teaches us a lesson about:
A. mischievousness
B. lying
C. pride
D. laziness

Which function has a greater rate of change?


Function A:

x 1.5 2.5 3.5 4.5 5.5

y –5 0 5 10 15


Function B:

y = –4.5x + 15


Function A has a rate of change of

and Function B has a rate of change of

, so Function

has a greater rate of change.
there are three answer boxes

Evaluate 48 minus 16 divided by 4

Y E S . No Need to answer.

The table below shows the proportional relationship between the weight of cat food, in ounces, and the number of bags of cat food:

Number of Bags of Cat Food Number of Ounces of Cat Food
4 64
5 80
6 96
What is the constant of proportionality?
Group of answer choices

4

7

16

32

Compare using or =.


5/8 3/5

For every $20 that Danika saves, her grandmother gives her $30. If Danika saves $150, how much money will her grandmother give her?

Charlie estimates his dog weighs 17 lbs. When Charlie weighed his dog, he weighed 20 lbs. What is the percent error of the weight of Charlie’s dog?

15% error
33% error
2% error
10% error

solve. draw or write to show your work. I have 15 stamps. some are old. 6 are new. how many stamps are old?

HEY GUYS I POSTED A QUESTION BASED ON HEALTH ON MY PAGE FOR 15 POINTS CAN SOMEONE GO CHECK IT OUT IM POSTING THIS FOR MATH BC MORE PEOPLE DO MATH OVER HEALTH TY MUCH LOVE!!!!!!!!

80= 720 divided by what