TCAP Blitz Pre-Assessment 
7th Grade

	1.	A scientist mixes 50 mL of a solution that is 2% salt by weight with 150 mL of a solution that is 6% salt by weight. What percent salt is the resulting solution?

A	4%	
B	5%	
C	7%	
D	8%	

	2.	A scientist has 80 mL of a solution that is 5% salt by weight. She adds 20 mL of a solution that is 3% salt by weight. What percent salt is the resulting solution?

F	2%	
G	4%	
H	4.6%	
J	8%	

	3.	Use the graph below. What is a rule for the graph?

A	y = x + 3	
B	y = x – 3	
C	y = –x – 3	
D	y = –x + 3	

	4.	Use the pattern in the table. What is a rule for the pattern?

F	y = x + 1	
G	y = x2	
H	y = x2 + 1	
J	y = 3x + 1	

	5.	Which equation shows an inversely proportional relationship?

A		
B		
C		
D		

	6.	Which table shows a directly proportional relationship?

F		
G		
H		
J		

	7.	What kind of relationship is shown in the graph below?

A	directly proportional	
B	linear but not directly proportional	
C	inversely proportional	
D	other nonlinear relationship	

	8.	What kind of relationship is shown in the graph below?

F	directly proportional	
G	linear but not directly proportional	
H	inversely proportional	
J	other nonlinear relationship	

	9.	Use the map below. Pigeon Forge is 2.25 inches from Gatlinburg on the map. How far apart in actual distance are they?

A	2.25 miles	
B	5.5 miles	
C	9 miles	
D	18 miles	

	10.	Use the map below. Scotts Hill is 1.4 inches from Decaturville on the map. How far apart in actual distance are they?

F	1.4 miles	
G	2.8 miles	
H	7 miles	
J	14 miles	

	11.	What is the simplest form of the expression ?

A		
B	4	
C		
D		

	12.	What is the value of the expression 5.3 – (2 + 1.9)2?

F	7.1	
G	6.91	
H	5.2	
J	–9.91	

	13.	What is the expression  in simplest form?

A		
B		
C		
D		

	14.	Which number has the greatest value?

F		
G		
H		
J		

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

A	>	
B	<	
C	=	
D	+	

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

F	>	
G	<	
H	=	
J	+	

	17.	One February day in Jackson, the temperature ranged from –4°C to 12°C. What was the difference between the high and low temperatures?

A	–4°C	
B	4°C	
C	16°C	
D	20°C	

	18.	One February day in Millington, the temperature ranged from –2°C to 7°C. What was the difference between the high and low temperatures?

F	5°C	
G	7°C	
H	9°C	
J	11°C	

	19.	Of the 95 counties in Tennessee, 33 are in East Tennessee. About what percent of counties in Tennessee are in East Tennessee?

A	30%	
B	35%	
C	40%	
D	45%	

	20.	Of the 14 professional sports teams in Tennessee, 9 are baseball teams. About what percent of the professional sports teams in Tennessee are baseball teams?

F	14%	
G	36%	
H	64%	
J	86%	

	21.	The Tennessee Titans offer a shuttle service on game days from remote parking lots to the stadium. The shuttle costs $24 for two people. How much does the shuttle cost for 5 people?

A	$48	
B	$60	
C	$90	
D	$120	

	22.	A giraffe can run at speeds up to about 46.9 feet per second. At this rate, how long would it take a giraffe to run 117.25 feet?

F	1.5 sec	
G	2 sec	
H	2.5 sec	
J	3 sec	

	23.	The table shows the number of student volunteers representing each grade at a community fundraiser. It also shows how much money was raised by each grade. Which grade had the highest rate of money raised per student?

A	5th grade	
B	6th grade	
C	7th grade	
D	8th grade	

	24.	What is the value of the expression 5x + 3 when ?

F		
G		
H		
J		

	25.	What is the value of the expression 3.4b – 2.7 when b = 1.8?

A	2.5	
B	3.42	
C	3.5	
D	8.82	

	26.	What is the value of the expression  when ?

F		
G		
H	3	
J		

	27.	What is the value of the expression  when ?

A		
B		
C		
D		

	28.	Use the graph below. What is the slope, and which unit rate might it represent?

F	; there is  inch in a centimeter.	
G	; there is  yard in a foot.	
H	3; there are 3 centimeters in an inch.	
J	3; there are 3 feet in a yard.	

	29.	The graph below shows the cost for adult admissions to the Abraham Lincoln Library and Museum. What is the slope of the graph? What does the slope mean?

A	5; Admission is $1 for 5 adults.	
B	5; Admission is $5 for 1 adult.	
C	10; Admission is $1 for 10 adults.	
D	10; Admission is $10 for 1 adult.	

	30.	At one used book store, the price of all trade paperback books is $2.50. Which does not show this relationship?

F		
G	y = 2.5x	
H		
J	y = x + 2.5	

	31.	Which equation represents a proportional relationship?

A		
B		
C		
D		

	32.	What is the solution of the equation ?

F		
G		
H		
J		

	33.	What is the solution of the equation 0.2x – 0.3 = 1.7?

A	0.7	
B	1	
C	7	
D	10	

	34.	Lacrosse balls cost $30 for a dozen and a basketball costs $26. Mr. Maalouf is buying supplies for the gym. He orders two dozen lacrosse balls and some basketballs for $190, excluding sales tax. Which equation models this situation?

F	30 + 26x = 190	
G	60 + 26x = 190	
H	60x + 26 = 190	
J	120 + 26x = 190	

	35.	Mark buys 2 sweatshirts and a book costing $5.98 for a total of $38.92 before tax. Which equation can be solved to find the price of one sweatshirt?

A	2s – 5.98 = 38.92	
B	2s + 5.98 = 38.92	
C	5.98s + 2 = 38.92	
D	5.98s – 2 = 38.92	

	36.	Jaron is buying an MP3 player for $62 and some DVDs for $8 each. He spends a total of $118 before tax. Which equation models this situation?

F	62x + 8 = 118	
G	62x – 8 = 118	
H	62 + 8x = 118	
J	62 – 8x = 118	

	37.	Which situation is modeled by the equation ?

A	Emilio separated the DVDs into 3 equal piles, then took 2 DVDs from each pile, leaving 6 in each pile. How many DVDs did he have in the beginning?	
B	Voshon spent $3 for a number of magazines, and bought a new notebook for $2. He spent $6 in all. How many magazines did he buy?	
C	Ashira had a bag of apples. She ate two, then divided the rest equally among three friends. Each friend received 6 apples. How many apples were in the bag to start?	
D	Magdalena gave 2 cakes to the bake sale, leaving 3 cakes in her kitchen. She then made 6 more cakes. How many cakes did she make in all?	

	38.	A cactus is 5 inches tall and grows  inch per year. It must be at least 10 inches tall in order to enter it in the fair. In how many years can the cactus be entered in the fair?

F	5 years	
G	10 years	
H	20 years	
J	30 years	

	39.	Lisa hired an electrician to install a light switch. The electrician charged $48 for the initial call, plus $60 per hour. Lisa paid the electrician $228. How long did it take the electrician to install the light switch?

A	2 hours	
B	2.5 hours	
C	3 hours	
D	3.5 hours	

	40.	Martha noticed that when the shadow of a meter stick was 25 centimeters long, the length of the shadow of the Space Needle in Gatlinburg was 31 meters long. How tall is the Space Needle?

F	62 meters	
G	93 meters	
H	124 meters	
J	155 meters	

	41.	At the same time of day, the shadows of a person and the Tennessee Tower are measured. The lengths of the shadows are shown below. What is the height of the Tennessee Tower?

A	113 feet	
B	226 feet	
C	339 feet	
D	452 feet	

	42.	A cereal company is making a new jumbo-sized box for its most popular cereal. The new box will be twice as long as the smaller box in every dimension (height, width, and length). How many times more cardboard is needed for the jumbo box than for the smaller box?

F	8 times more cardboard	
G	7 times more cardboard	
H	4 times more cardboard	
J	3 times more cardboard	

	43.	A popcorn processor is planning to offer a larger size container of popcorn, with all dimensions doubled from their current size. The current size container holds 2.5 cups of popcorn. How much popcorn will the larger size hold?

A	5 cups	
B	7.5 cups	
C	18 cups	
D	20 cups	

	44.	A bookstore mailroom clerk is weighing packages of books to send to customers. The weights, in pounds, are shown below.

3.2, 1.5, 2.9, 6.4, 2.5, 3.4, 4.1, 3.9, 4.6, 1.8

What is the upper quartile of the data?

F	2.5	
G	3.3	
H	3.4	
J	4.1	

	45.	The height of a horse is measured in hands from the ground to the highest point on its withers. A veterinarian measured the heights of some Tennessee Walking horses in hands. Her results are below.

15.3, 15.6, 14.8, 16.8, 16.2, 15.7, 16.2, 17.1, 15.3, 16.1, 15.8

What is the interquartile range of the data?

A	0.9	
B	15.3	
C	15.8	
D	16.2	

	46.	Tadeo is playing a game that uses the spinner below.

What is the probability that his next spin will be a 4 or a 5?

F		
G		
H		
J		

	47.	Charlene has five state quarters in her pocket. Three are Tennessee quarters, and two are New Mexico quarters. If she chooses two quarters without looking, what is the probability that both of them are Tennessee quarters?

A		
B		
C		
D		

TCAP Blitz Pre-Assessment 7th Grade
Answer Key

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

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

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

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

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

	6.	ANS:	F	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:	C	PTS:	1	STA:	SPI 0706.1.4

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

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

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

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

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

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

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

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

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

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

	20.	ANS:	H	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:	C	PTS:	1	STA:	SPI 0706.2.7

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

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

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

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

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

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

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

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

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

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

	34.	ANS:	G	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:	C	PTS:	1	STA:	SPI 0706.3.7

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

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

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

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

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

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

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

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

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

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