GT – 1st Semester Exam Review

Question 1

Evaluate:

0512416

Question 2

Simplify:

21.1

49.

Question 3

Simplify:

632

Question 4

The area of a square sandbox is 289 sq. ft. If you want to surround the sandbox, how much wood would you need to create a perimeter?

Question 5

Use the model to solve for x.

1863 x=x xx

Question 6

Solve for x.

32)7( x

Question 7

Carmen cut a 12-yard piece of cloth into three pieces. The first two pieces were each three and three-fourths yards long. What was the length of the other piece?

Question 8

The Don’tKnowMath Corporation budgets its monthly income as follows: one-third for office supplies, one-fourth for rent, one-tenth for travel, and the rest for savings. What part is left for savings?

Question 9

Suppose you want to buy 100 shares of a certain stock that is selling for thirty two and a fourth dollars per share, but by the time you place your order the stock has gone up by two and three-eighths dollars a share. How much will you have to pay for the 100 shares, now?

Question 10

An 8 ft tall flagpole is casting a 6 ft shadow. What is the distance between the tip of the flagpole to the tip of the shadow?

Question 11

This year’s Super Bowl was played in Miami, FL when the temperature was 78º F. Last year, the game was played in New England with a temperature of – 5º F. What is the difference between in temperatures between for the two games?

Question 12

A phone company charged $5.74 for an one hour and 22 minute phone call. How much did it cost per minute?

Question 13

Jason purchased 4 pounds of rib-eye steaks at $24.50. If Jason needs an additional 3 pounds of steak, what would be the extra cost?

Question 14

A gallon milk costs $2.03. If Patrick buys 5 gallons of milk, and used $20 bill to pay, how would you write an expression to calculate the change Patrick would receive?

Question 15

Jackie went to the store and noticed that they had a sale for 15% off. Jackie wants you to show the discount as a decimal and a fraction in simplest form.

Question 16

Suppose a telephone company charges $0.45 for the first three minutes and then $0.29 for each additional minute of a long-distance call. If a certain call costs $2.77, how many minutes was it?

Question 17

Warren bought a 24 foot long rope. He used 10.25 ft to tie up some branches. Of what he had left, he used one-third to make a knot. How much rope does Warren have left?

Question 18

On four consecutive plays, Colt McCoy of the Texas Longhorns gained 6 yards, lost 7 yards, lost 14 yards, and gained 11 yards. What integer would best represent his total net yardage (gain or lost) for the 4 plays?

Question 19

The model below represents a number squared. What number is it?

Question 20

Evaluate:

74

0 12

53177

Question 21

Arrange the numbers in order from least to greatest : three-fifth0.67two-thirds0.61.

Question 22

Explain, step by step, how you would find the value of x.

=xx

Question 23

Evaluate:

)4446(142

Question 24

Determine the rule that can be used to find the value of any term in the sequence: 4, 6, 8, 10, …, n, where n represents the position of the term?

Question 25

Hiro, the shark is swimming at a depth of 47 feet below sea level. A helicopter is flying at an altitude of 127 feet above sea level. What is the distance between Hiro and the helicopter?

Question 26

Simplify:

)119(3)615(4 xx

Question 27

Write in scientific notation:

0.000102

Question 28

Shelly can read 45 pages in 20 minutes. If she continues to read at this rate, how many pages can she read in 2 hrs?

Question 29

Oranges sell for $.89 per pound at HEB. Mr. Juice bought 3.2 pounds of oranges. How much did he pay for the oranges?

Question 30

Four friends wants to have an average of 88 for their test grades. If the first friend got a 85, the second got a 95, while the third friend got a 90. Write an equation with x to represent what the 4th friend needs to make their goal.

Question 31

Simplify:

3322 )2)(4( yxyx

Question 32

You and 4 friends went to dinner. Each entree cost $10.75, and drinks were $1.50, each. If you paid the entire bill, what was your total cost of dinner?

Question 33

On a cold winter day, the temperature reached -9ºC in Bishop, CA. The following day, it was even colder, and the temperature dropped 14ºC below -9ºC. What was the temperature on the following day?

Question 34

The top of Mount Whitney in CA, which can be seen from Death Valley, has an altitude of 14,494 feet above sea level. The bottom of Death Valley is 282 feet below sea level. Using zero as sea level, find the difference between these two elevations.

Question 35What rule can be used to find the value of any term in the sequence below where n represents the position of the term?

PositionValue of

term

1 5

2 7

3 9

5 13

n ?

A) 2n + 3

B) 8n – 2

C) 3n – 3

D) 4n + 2

Question 36

Distribute:

327 23 tt

Question 37If point A moves up 3 units and right 4 units. What quadrant is A’ in, and what is the ordered pair?

A (-3, -1)

Question 38

Simplify:

444

69

4

28

pnm

pnm

Question 39

Four consecutive odd integers have a sum of – 208. What are the four integers?

Question 40

Zorro had a sheet of canvas

wide. He left a margin wide

on both sides of the paper. How

wide was the space between the

margins?

in2

19

in8

7

Question 41

Write the equation that is modeled.

Question 42

Solve:

856 a

Question 43

Jason purchased of

telephone line. He used to

install another phone in his home.

How much telephone line did he

have left?

.5

235 ft

.10

317 ft

Question 44

Simplify:

2884

Question 45

The lawn in front of Sartartia Middle School is in the shape of a rectangle 12m long and 9m wide. How many meters shorter is your walk diagonally across the lawn rather than along two sides of the lawn?