TCAP Blitz Assessment - 7th Grade

	1.	Constanza mixes 1 cup of a solution that is 40% sugar with 3 cups of a solution that is 50% sugar. What percent sugar is the resulting solution?

A	10%	
B	45%	
C	47.5%	
D	90%	

	2.	Hernando mixed 150 milliliters of a solution that was 4% salt by weight with 350 milliliters of a solution that was 9% salt by weight. How much salt made up the resulting solution?

F	5%	
G	6.5%	
H	7.5%	
J	13%	

	3.	What is a rule for the pattern graphed below?

A		
B		
C		
D		

	4.	What is a rule for the pattern graphed below?

F	y = x2	
G	y = –x2	
H	y = x3	
J	y = –x3	

	5.	Which equation shows a relationship that is inversely proportional?

A		
B		
C		
D		

	6.	Which of the following tables demonstrates an inversely proportional relationship between x and y?

F		
G		
H		
J		

	7.	Which graph shows a directly proportional relationship?

A		
B		
C		
D		

	8.	Which graph shows an inversely proportional relationship?

F		
G		
H		
J		

	9.	Use the map below. Chattanooga is  inches from Atlanta on the map. How far apart in actual distance are they?

A	75 miles	
B	100 miles	
C	125 miles	
D	150 miles	

	10.	Use the map below. Milan is 1.6 centimeters from Humboldt on the map. How far apart in actual distance are they?

F	8 km	
G	16 km	
H	32 km	
J	200 km	

	11.	What is the simplest form of the expression ?

A		
B		
C		
D		

	12.	What is the simplest form of the expression ?

F		
G		
H		
J		

	13.	What is 42 + 3(9 – 5) ¸ 2 in simplest form?

A	12	
B	16	
C	18	
D	22	

	14.	Which of the following symbols will make the number sentence true when placed in the blank?

F	>	
G	<	
H	=	
J	+	

	15.	Which number is greatest?

A	184%	
B	1.73	
C		
D		

	16.	Which number is greatest?

F	150%	
G	1.62	
H		
J		

	17.	A scuba diver dives 38 feet below the surface. Then the diver rises 3 feet per minute. Which integer describes the position of the diver in relation to the surface of the water 6 minutes after beginning to rise?

A	–35	
B	–32	
C	–20	
D	–17	

	18.	A scientist studying bats hiked into Hubbard’s Cave, near McMinnville. She went down to 53 feet below the surface, then came up 14 feet. Which integer describes her new position in relation to the surface?

F	–67	
G	–53	
H	–49	
J	–39	

	19.	Two of the 22 botanical gardens in Tennessee are run by the University of Tennessee. About what percent of the botanical gardens in the state are run by the University of Tennessee?

A	0.09%	
B	9.09%	
C	9.9%	
D	9%	

	20.	The population of Tennessee is about 6.2 million people. The population of Memphis is about 650,000 people. What percent of the population of Tennessee is made up of Memphis residents? Round to the nearest tenth.

F	10.5%	
G	10.8%	
H	11.5%	
J	12.8%	

	21.	Craighead Caverns in Sweetwater, Tennessee, includes the Lost Sea. School tours of the Lost Sea require 1 adult for every 12 students. How many adults are required for a school group of 96 students?

A	7 adults	
B	8 adults	
C	9 adults	
D	10 adults	

	22.	The number of tablespoons of sea salt in a saltwater fish tank varies directly with the number of gallons of water in the tank. A pet-shop owner recommends a ratio of 100 tablespoons of sea salt to 20 gallons of fresh water. How many tablespoons of sea salt should there be in a 35-gallon tank?

F	70 tablespoons	
G	140 tablespoons	
H	175 tablespoons	
J	700 tablespoons	

	23.	At a supermarket, apples are sold in 4 bags of different sizes. The bags and their prices are listed in the table.

Which bag of apples is the least amount of money per pound of apples?

A	 pound	
B	1 pound	
C	 pound	
D	2 pound	

	24.	What is the value of the expression 0.5x + 4.3 when x = 1.4?

F	6.2	
G	5.7	
H	5	
J	4.7	

	25.	What is the value of the expression 4(5 – 3x) when x = 0.2?

A	22.4	
B	17.6	
C	8	
D	4.4	

	26.	What is the value of the expression  when ?

F		
G		
H		
J		

	27.	What is the value of the expression  when ?

A	39	
B	36	
C	35	
D	32	

	28.	The graph below shows the cost of renting campsites at Balsam Mountain campground in the Great Smoky Mountains. What is the slope of the graph? What does the slope mean in this situation?

F	14; 14 people can use one campsite.	
G	14; it costs $14 to rent a campsite for one night.	
H	7; each person pays $7 per night.	
J	7; it costs $7 to rent a campsite for one night.	

	29.	The graph shows the cost of admission for people over the age of 12 at the Memphis Zoo. What is the slope of the line, and what does it mean in this situation?

A	; it costs $15 for 1 person’s admission.	
B	; it costs $1 for 15 people’s admission.	
C	15; it costs $15 for 1 person’s admission.	
D	15; it costs $1 for 15 people’s admission.	

	30.	Which equation shows a proportional relationship?

F	y = x + 2	
G	y = 2x	
H	y = x2	
J	y = 2x – 2	

	31.	Jared buys 3 packages of hot dogs, h, for every 2 packages of hot dog buns, b. Which equation shows this relationship?

A		
B		
C		
D		

	32.	What is the solution of the equation ?

F		
G		
H	6	
J	54	

	33.	What is the solution of the equation ?

A		
B	4	
C	10	
D	25	

	34.	Admission to the Hermitage, home of President Andrew Jackson, is $11 per student. A school group paid $374 for a group of students. Which equation can be solved to find the number of students in the group?

F	374 = 11x	
G	374 = x + 11	
H	374 = x – 11	
J	374 = 11 – x	

	35.	An elevator begins its ascent starting from 30 feet above ground level. If the elevator ascends at a constant rate of 20 feet per second, which equation shows t, the time in seconds it would take to reach a height of 600 feet?

A	600 = 30t + 20	
B	600 = 20t + 30	
C	600 = 20t – 30	
D	600 = 20(t + 30)	

	36.	A cotton milling company employs 550 workers. It plans to increase its workforce by 15 employees per week until it has tripled the size of its workforce. Which equation can be used to determine w, the number of weeks it will take for the company’s workforce to triple in size?

F	15w = 1,650 + 550	
G	15 + 550w = 1,650	
H	15w + 550 = 1,650	
J	3(15w + 550) = 550	

	37.	Annual membership to the Frist Center for the Visual Arts is $45 for individuals. This month the Frist Center was paid $2,520 for individual memberships. Which equation can be solved to find the number of individuals who bought a membership this month?

A	2,520 = 45 – x	
B	2,520 = x + 45	
C	2,520 = x – 45	
D	2,520 = 45x	

	38.	A puppy weighs 8 ounces at birth. Assuming the puppy gains 6 ounces every week, how much will the puppy weigh in 3 weeks?

F	11 ounces	
G	14 ounces	
H	17 ounces	
J	26 ounces	

	39.	A plant is 8 inches tall. Assuming the plant grows 2.5 inches every week, how tall will the plant be in 5 weeks?

A	10.5 inches	
B	13 inches	
C	15.5 inches	
D	20.5 inches	

	40.	Amber is 55 inches tall. She is hiking in Big Hill Pond State Park when she finds the Dismal Swamp Observation Tower. Amber notices that her shadow is 33 inches long when the tower’s shadow is 42 feet long. How tall is the tower?

F	25.2 ft	
G	70 ft	
H	126 ft	
J	210 ft	

	41.	One afternoon Xavier noticed that his shadow was 2 feet long. He measured the shadow of 100 North Main, the tallest building in Memphis, at the same time, and it was 172 feet long. How tall is the building?

A	860 feet	
B	430 feet	
C	215 feet	
D	86 feet	

	42.	The side lengths of cube D are one-third the side lengths of cube C. Which correctly describes the volume of cube D compared to the volume of cube C?

F	The volume of cube D is  the volume of cube C.	
G	The volume of cube D is  the volume of cube C.	
H	The volume of cube D is  the volume of cube C.	
J	The volume of cube D is  the volume of cube C.	

	43.	A box of popcorn has 6 cubic inches of popcorn kernels in it. The manufacturers want to make a larger box with dimensions twice as long on each side. What is the volume of the larger box?

A	24 in3	
B	36 in3	
C	48 in3	
D	162 in3	

	44.	The list below shows the thickness of some books, in centimeters.

2.5, 2.6, 4.1, 5.2, 3.6, 7.9, 5.1, 5.8, 4.5

What is the first quartile of the data?

F	2.5 cm	
G	3.1 cm	
H	4.5 cm	
J	4.6 cm	

	45.	The line graph shows the overnight low temperatures on five consecutive days. What is the mean low temperature for the days shown?

A	8°F	
B	9°F	
C	10°F	
D	11°F	

	46.	James rolls a number cube numbered 1 to 6 and spins the spinner below.

What is the probability that he rolls an even number and spins orange?

F		
G		
H		
J		

	47.	Makena rolls two number cubes numbered from 1 to 6. Which has the greatest probability?

A	rolling a sum of 2	
B	rolling a sum of 4	
C	rolling a sum of 7	
D	rolling a sum of 9	

TCAP Blitz Assessment - 7th Grade
Answer Key

	1.	ANS:	C	PTS:	1	STA:	SPI 0706.1.1

	2.	ANS:	H	PTS:	1	STA:	SPI 0706.1.1

	3.	ANS:	C	PTS:	1	STA:	SPI 0706.1.2

	4.	ANS:	G	PTS:	1	STA:	SPI 0706.1.2

	5.	ANS:	A	PTS:	1	STA:	SPI 0706.1.3

	6.	ANS:	J	PTS:	1	STA:	SPI 0706.1.3

	7.	ANS:	B	PTS:	1	STA:	SPI 0706.1.3

	8.	ANS:	H	PTS:	1	STA:	SPI 0706.1.3

	9.	ANS:	B	PTS:	1	STA:	SPI 0706.1.4

	10.	ANS:	G	PTS:	1	STA:	SPI 0706.1.4

	11.	ANS:	C	PTS:	1	STA:	SPI 0706.2.1

	12.	ANS:	H	PTS:	1	STA:	SPI 0706.2.1

	13.	ANS:	D	PTS:	1	STA:	SPI 0706.2.1

	14.	ANS:	G	PTS:	1	STA:	SPI 0706.2.2

	15.	ANS:	A	PTS:	1	STA:	SPI 0706.2.2

	16.	ANS:	J	PTS:	1	STA:	SPI 0706.2.2

	17.	ANS:	C	PTS:	1	STA:	SPI 0706.2.5

	18.	ANS:	J	PTS:	1	STA:	SPI 0706.2.5

	19.	ANS:	B	PTS:	1	STA:	SPI 0706.2.6

	20.	ANS:	F	PTS:	1	STA:	SPI 0706.2.6

	21.	ANS:	B	PTS:	1	STA:	SPI 0706.2.7

	22.	ANS:	H	PTS:	1	STA:	SPI 0706.2.7

	23.	ANS:	D	PTS:	1	STA:	SPI 0706.2.7

	24.	ANS:	H	PTS:	1	STA:	SPI 0706.3.1

	25.	ANS:	B	PTS:	1	STA:	SPI 0706.3.1

	26.	ANS:	F	PTS:	1	STA:	SPI 0706.3.1

	27.	ANS:	A	PTS:	1	STA:	SPI 0706.3.1

	28.	ANS:	G	PTS:	1	STA:	SPI 0706.3.4

	29.	ANS:	C	PTS:	1	STA:	SPI 0706.3.4

	30.	ANS:	G	PTS:	1	STA:	SPI 0706.3.5

	31.	ANS:	C	PTS:	1	STA:	SPI 0706.3.5

	32.	ANS:	J	PTS:	1	STA:	SPI 0706.3.6

	33.	ANS:	C	PTS:	1	STA:	SPI 0706.3.6

	34.	ANS:	F	PTS:	1	STA:	SPI 0706.3.7

	35.	ANS:	B	PTS:	1	STA:	SPI 0706.3.7

	36.	ANS:	H	PTS:	1	STA:	SPI 0706.3.7

	37.	ANS:	D	PTS:	1	STA:	SPI 0706.3.7

	38.	ANS:	J	PTS:	1	STA:	SPI 0706.3.8

	39.	ANS:	D	PTS:	1	STA:	SPI 0706.3.8

	40.	ANS:	G	PTS:	1	STA:	SPI 0706.4.1

	41.	ANS:	B	PTS:	1	STA:	SPI 0706.4.1

	42.	ANS:	F	PTS:	1	STA:	SPI 0706.4.3

	43.	ANS:	C	PTS:	1	STA:	SPI 0706.4.3

	44.	ANS:	G	PTS:	1	STA:	SPI 0706.5.3

	45.	ANS:	B	PTS:	1	STA:	SPI 0706.5.3

	46.	ANS:	H	PTS:	1	STA:	SPI 0706.5.4

	47.	ANS:	C	PTS:	1	STA:	SPI 0706.5.4