7 th Grade Math

TCAP

REVIEW

7TH GRADE MATH

UNIT RATE

1. Lauren bikes 1 1/3 miles in 1/10 hour. What is her rate of speed in miles per hour?

2. Renting an office costs $486 per month. The office has an area of 202 ½ square feet. What is the monthly cost per square foot to rent the office?

3. A novelist can write 2 ¼ page in ¾ hour. Express her writing speed as a unit rate.

WORD PROBLEM / UNIT RATE

1. A gas pump delivered 16.7 gal of gas in 3.5 min. Find the pumping rate in gallons per minute.

2. A jet traveled 1875 miles in 5 hours. Find the mile per minute.

3. A marathon runner ran 3/5 of a marathon in 5/6 of an hour. What is the speed of the marathon runner?

GRAPH

• This graph reflects Tammy’s trip. How far did Tammy travel per hour?

Miles

9060300

0 2 4 6

RELATIONSHIPSS T3 405 1607 2809 400

R W3 454 605 756 90

X Y2 124 226 328 42

1. CLASSIFY EACH OF THE TABLES.

2. CREATE AN EQUATION FOR EACH OF THE TABLES.

RELATIONSHIPSP T2 504 255 2010 10

B V3 -54 -95 -136 -17

X Y2 124 86 48 0

1. CLASSIFY EACH OF THE TABLES.

2. CREATE AN EQUATION FOR EACH OF THE TABLES.

RELATIONSHIPS

Classify each equation.

RELATIONSHIP• Classify the mapping diagram.

68101214

34567

GRAPHS1. Identify the relationship

2. Create the Equation if Linear or Direct.

3. Explain what the points represent in the graphs.

$Fuel

Miles Tickets

121086420

0 30 60 90 120

100806040200

0 10 20 30 40

PROPORTIONAL RELATIONSHIPS

1. The graph of a proportional relationship passes through the points (3,33) and (5,55). Explain how you know the, r, value for the point (1,r)

2. Explain what (0,0) represents in a proportional relationship.

WORD PROBLEMS

• The regular price of a jacket is $200. today the jacket is on sale. It cost 80% of its regular price. The sales tax is 8%. If Stefan buys the jacket today, how much will he pay in total once tax is added?

• The population of a city in the year 2000 was 4,400. in 2010, the population was 5,060. find the percent increase in the population from 2000 to 2010. assuming the population continues to grow at the same rate, predict what the population will be in 2020.

NUMBER SYSTEM

W.P.

1. The high temperature in a city one day was 2.6 degree Celcius. The low temperature was -2.8 degree Celcius. What was the temperature range in the city that day?

2. A helium atom has 2 electrons, each of which has a -1 charge. Each proton has a +1 charge. Overall, the helium atom has no charge. Hwo many protons must the atom have?

a) -2

b) 0

c) 2

d) 3

• On Jan. 1, Rose’s bank balance was $200. During the month, she wrote checks for $115.25 and $350.00 and made one deposit of $150.50. which best represents her checking account balance at the end of the month?

A. -114.75

B. -114.25

C. $114.25

D. $115.50

COMPLEX FRACTION

1. A building has a height of a16 ¼ meters. Each floor in the building has a height of 3 ¼ meters. How many floors are in the building/

2. Three and five-sixths pounds of dirt are taken from a baseball field. The dirt is then split into bags that contain pounds each. How many bags are filled? Is any left over?

PROBLEM SOLVING

• Marko is building a model train track using wooden ties below the rails. Each tie has a width of inches. The gap between ties is 1 ½ inches. Most of the track is already in place, but Marko decides to add a section at the beginning of the track. The new section will have 20 ties and 20 gaps. What is the length of this section?

PROBLEM SOLVING

1. The owner of a gas station must collect a gasoline tax of $0.12 on each gallon of gasoline sold. On Tuesday, the owner paid $264.60 in gasoline taxes. How many gallons of gasoline were sold on Tuesday?

2. A box of nails has a mass of kilogram. Alan buys a crate of 12 of those boxes of nails. He then uses ½ of the nails from one of the boxes. What is the total mass of the remaining nails in Alan’s crate?

EXPRESSIONS/EQUATIONS

EQUIVALENT EXPRESSION

1. Kenny earns $150 for each ring he sells. He pays $85 in rent each day for his booth at a craft festival. After the cost of renting the booth is deducted, he earns (150r-85) per day. Which expressions shows how many dollars he earns in 4 days at the festival?

A. 515

B. 260r

C. 600r-85

D. 600r-340

ALGEBRAIC EXPRESSIONS

1. 4x + 3(2x+1)

2. 7z + 27z +17 +7(z-7)

Simplify

SOLVE EXPRESSIONS

1. m= k=22

2. t=8

SOLVE EQUATION