Teas 7 math practice test 3

A mathematics test has a 4:2 ratio of data anaylsis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?
A. 24
B. 28
C. 36
D. 38

C. 36


You will cross multiply and divide. You will multiply 4×18 = 72 then divide 72÷2=36

Between the years 2000 and 2010, the number Of births in the town Of births in the town of Danville increase from 1,432 to 2,219. What is the approximate percent increase in the number of births during those 10 years? Round your answer to the nearest whole percent

55℅


Begin by subtracting 1,432 from 2,219. The result is 787. Then divide 787 by 1,432 to find the percent of increase: 0550, or 55%. This is approximately a 55% increase in births between 2000 and 2010.

Tom needs to buy ink cartridges and printer paper. Each ink cartridge cost $30. Each ream of paper cost $5. He has $100 to spend. Which of the following Which of the following inequalities may be used to find all of the combinations of ink cartridges and printer paper that he may purchase ?

30c + 5p ≤ 100

The inequality will be less than or = to since he may spend $100 or less on his purchase.

Simplify the following expression: 3 1\6 - 1 5\6

1 1\3


Since the denominator is the same for both fractions this is simple subtraction. Start by subtracting the fractions. Since 1 is less than 5, borrow the 3. The expression is now 2 7\6 - 1 5\6 . Now the fractions can be subtracted. 7\6 - 5\6 = 2\6 , Which simplifies to 1\3 . Then subtract the whole numbers: 2-1=1 . The answer is 1 1\3

To begin making her soup ,Jennifer added 4 containers of chicken broth with 1 l of water into the pot. Each container of chicken broth contains 410 milliliters . How much liquid is in the pot?

2.64 liters

1st determine how many ml of chicken broth is in the soup. Since there are 4 containers used in 410 ml in each container multiply these values together. 410×4=1640 mL. Then convert mL to !iters. There are 1000 mL in 1 liter , so divide 1,640 by 1000 it equals 1.64 and add the liter that was already in the pot. 1.64 + 1= 2.64 liters

there are 1,000 mL in 1 liter

.

Solve for X. in the following equation: 4(2x -6) =10x -6

x= -9

Start by distributing the 4, And then use inverse operations to solve for X.
8x-24=10x-6
-24=2x-6
-18=2x
-9=x

Simplify the following expression: 2⁄3 ÷ 4/15 x 5/8

1 9/16


So you will keep the 2\3 and flip the 4/15 and change the sign . So it'll be 2/3 x 15/4 = 30\12 and simplify to 5\2 because 6 goes into both 30 and 12. Next, multiply 5/2 by 5/8 and the result is 25/16 or 1 9/16.

What is the mode?

The mode is the value that is displayed most frequently in a set of data (The number that you see the most)

A triangle has dimensions of 9 cm, 4 cm, & 7 cm. The triangle is scaled by a factor of 3/4. Which of the following represents the dimensions of the scaled triangle?

6.75cm, 3cm, 5.25cm

The dilated triangle has dimensions equal to 3 /4 times the dimensions of the original triangle. The dimensions in the dilated triangle can be written as: 9x 3/4 = 6.75 cm ; 4x 3/4= 3cm , and 7x 3/4 = 5.25.

Chan receives a bonus from his job. he pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt. he has 600$ remaining. what was the total amount of Chans bonus?

4,000

Chan has paid out a total of 30%Plus 30% plus 25% =85% Of his bonus for the items listed in the question. The $600 is the remaining 15% of his bonus. To find out his total bonus convert 15% to a decimal and solve the equation 0.15x =$600. Dividing both sides by 0.15 results in a total bonus of $4,000.

Martin's bed is 7 feet in length. which of the following represents the length of the bed in centimeters?

There are approximately 2.54 cm in 1 inch. Since the length is given in feet first convert feet to inches and then convert inches to centimeters. There are 12 inches in 1 foot. So multiply 7 by 12 To find the number of inches in 7 feet. 7x12=84. Then multiply 84 by 2.54 to find the number of cm in 84 inches. 84x 2.54=213.36 cm

Simplify the following expression: 1/4 x 3/5 ÷ 1 1/8

2/15
Multiply and divide in order from left to right.
1/4 x 3/5 =3/20. Then simplify the division which requires multiplying by the inverse of the second fraction.
3/20 ÷ 9/8 \3/20 x 8/9 = 3/20
Simplifies to 2/15

convert 14.75 kilograms to decigrams

147,500 dg

14.75x 10000

If 1" on a map represents 60 feet' how many yards apart are 2 points if the distance between the points on the map is 10 inches ?

200 yards

Set up cross multiplication. Multiply 10 and 60 and you get 600. Now we need to convert 600' feet to yards. There are 3feet' in 1 yard so divide 600 by 3. You get 200 yd apart

there are 3 feet in 1 yard

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How to find the average?

To find the average add all of them up and divide by the number of scores

Rick renovated His home. He made his bedroom 40% larger Length and width then it's original size. If the original dimensions were 144 inches by 168" inches how big is his room now if measured in feet?

16.8ft x 19.6 ft

Multiply the original length by 40% and add this to the original length. 144x 0.40=57.6 + 144 =201.6 inches
168x 0.40=67.2 +168=235.2 inches
Then convert Measurements to feet. Since there are 12" and 1' divided the number of " by 12 to find out the measurement in feet. So pretty much divide both totals by 12

Simplify the following expression: 4 2/3 ÷ 1 1/6

4

Simplify the expression: 2/7 ÷ 5/6

12/35

Keep first number flip second number Change sign
2/7 x 6/5
12/35

1 mile = ____ feet

5,280 ft

1 liter = ____ milliliters

1000

Area= 1/2 b x h

.

When adding fractions make sure you find a common denominator

.

circumference equals pie x diameter

.

What is the area of a circle that has a diameter of 12 cm? (Use 3.14 for r (radius)

113.04 cm2


The area of a circle is radius squared (r2)

r=1/2 × 12cm =6cm
A=3.14 × (6cm)2
= 3.14 × 36cm2
=113.04 cm2

The mode is the most repeated numbers in the set

.

To find the mean add up all the values and divide by the number of values

.

To find the median list of numbers in order from least to greatest and then find the middle number

. If there are 2 numbers left you will add them then divide them by 2

The range is the highest value minus the lowest value

.

Hannah spends at least $16 on 4 packages of coffee. Which of the following inequalities represents the possible costs?
A. 16 ≥ 4p
B. 16 < 4p
C. 16 > 4p
D. 16 ≤ 4p

D.
This amount is greater than or = to $16

What is 4 2/9 ÷ 2 2/3 ?

1 7\12

Which of the following describes a proportional relationship?

Kevin drives 65 mph

What is this median for the set of numbers below ?

8,3,9,11,4,1,3,2,10,15

6

Two even integers and one odd integer are multiplied together. Which of the following could be their product?
A. 3.75
B. 9
C. 16.2
D. 24

D. 24

Integers include all positive and negative whole numbers and the #0 the product of 3 integers must be an integer so you can eliminate any choice that is not an integer the product of 2 integers is even the product of even and odd integers is even the only even choice is 24

The rectangular garage for a home has a length of 20.5 ft and a width of 15.25 ft. What is the area of the garage to the nearest square-foot ?

313 ft 2

Multiply both numbers and round
A=l×w

What is the perimeter of a right triangle whose legs measure 5 in and 12 in each ,and hypotenuse is 13 in ?

30 in
The perimeter , P , of a triangle is the sum of its 3 sides
P= 5in + 12 in + 13 in =30 in

What is the median ?
45, 40 , 51, 42 47, 41, 53, 50 , 39

45

Simplify the following expression
13/22 - 3/11

7/22

A certain punch recipe calls for 2 cups of apple juice, 3 liters of soda water , and a 5 ounce can of orange juice concentrate. What is the total volume of a single batch of the punch ?

122.44 oz