Quiz about AHS SS 1 SAT MATH FULL LENGTH TEST 13-05-2023

Question 1

Twice the product of $$m$$ and $$n$$ decreased by the square of the sum of $$m$$ and $$n$$ .

Which of the following is an expression for the statement above?

Accepted Answer

$$2mn-\left(m+n\right)^2$$

Answer

$$2mn-\left(m^2+n^2\right)$$

Answer

$$\left(m+n\right)^2-2mn$$

Answer

$$m^2+n^2-2mn$$

Question 2

The difference between two numbers is 8. If the smaller number is $$n$$ to the third power, what is the greater number?

Accepted Answer

$$n^3+8$$

Answer

$$n^3-8$$

Answer

$$8-n^3$$

Answer

$$8n^3$$

Question 3

What is the value of $$\left(\frac{2c}{a} ight)^2-10 imes\frac{\left(b+a ight)}{c}$$ if $$a=-2,\ b=3\ and\ c=5?$$

Accepted Answer

23

Answer

24

Answer

22

Answer

21

Question 4

Which of the following expressions is equivalent to $$2\left(\frac{1}{3}a^2-\frac{1}{3}a-3\right)+\frac{1}{3}\left(a^2+2a+6\right)?$$

Accepted Answer

$$a^2$$

Answer

$$a^2+a$$

Answer

$$a^2-a$$

Answer

$$a^2-1$$

Question 5

Which of the following expressions is NOT equivalent to $$p-\frac{2}{3}\left(2p-3q\right)-\frac{1}{3}\left(p+4q\right)?$$

Accepted Answer

$$-\frac{2}{3}\left(p+q\right)$$

Answer

$$-\frac{2}{3}\left(p-q\right)$$

Answer

$$-\frac{2}{3}p+\frac{2}{3}q$$

Answer

$$-\frac{1}{3}\left(2p-2q\right)$$

Question 6

To the nearest cents, what is the value of

$ $$500\left(1+0.045\right)^8-$$ $ $$500\left(1+0.04\right)^8?$$

Accepted Answer

$26.77

Answer

$25.45

Answer

$26.00

Answer

$28.25

Question 7

The sum of three fourths of the number $$a$$ and 24 is negative 9. What is the value of $$a$$ ?

Accepted Answer

-44

Answer

-20

Answer

20

Answer

44

Question 8

A number $$g$$ is decreased by $$23$$ and then multiplied by $$\frac{1}{2}$$ . The result is $$8$$ more than twice the number $$g$$ . What is the number $$g$$ ?

Accepted Answer

$$-13$$

Answer

$$-\frac{34}{3}$$

Answer

$$-\frac{29}{3}$$

Answer

$$-8$$

Question 9

Twice a number $$n,$$ increased by $$11$$ is the same as six times the number decreased by $$9$$ . What is the value of $$n$$ ?

Accepted Answer

5

Answer

8

Answer

7

Answer

6

Question 10

Four times the greatest of three consecutive odd integers exceeds three times the least by 31. What is the greatest of the three consecutive odd integers?

Accepted Answer

19

Answer

17

Answer

21

Answer

23

Question 11

What is the value of $$n$$ if:

$$-\frac{7}{2}\left(2n-3\right)+4n=\frac{3}{2}\left(5+2n\right)?$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$-\frac{1}{2}$$

Answer

$$-\frac{2}{3}$$

Question 12

What is the value of $$k$$ if:

$$\frac{13-7\left(k+1\right)}{3}=3k-2?$$

Accepted Answer

$$\frac{3}{4}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{4}{5}$$

Question 13

David used $$\frac{1}{10}$$ of his monthly salary for groceries and $$\frac{3}{18}$$ of the remaining money for his car payment. He also paid twice as much money for rent as for his car payment. If David has $1,620 left after paying for groceries, car payment and rent, how much is his monthly salary?

Accepted Answer

$3,600

Answer

$3,240

Answer

$3,320

Answer

$3,480

Question 14

If $$\left(x+1\right)^3=-64,$$ what is the value of $$x?$$

Accepted Answer

-5

Answer

-6

Answer

-4

Answer

-3

Question 15

Which of the following is equal to $$b^{\frac{5}{3}}?$$

Accepted Answer

$$b\ \sqrt[3]{b^2}$$

Answer

$$b\ \sqrt[]{b}$$

Answer

$$b\ \sqrt[]{b^{\frac{1}{3}}}$$

Answer

$$b\ \sqrt[3]{b}$$

Question 16

If $$f\left(x\right)=-6x+1,\ $$ what is $$f\left(\frac{1}{2}x-1\right)$$ equal to?

Accepted Answer

$$-3x+7$$

Answer

$$-3x+5$$

Answer

$$-3x-1$$

Answer

$$-3x-7$$

Question 17

Which of the following statements is true concerning the equation below?

$$3\left(5-2x\right)=6\left(2-x\right)+3$$

Accepted Answer

The equation has no solutions

Answer

The equation has one positive solution

Answer

The equation has one negative solution

Answer

The equation has infinitely many solutions

Question 18

Given that $$\frac{1}{8^{\left(2-3y\right)}}=2^{\left(y+2\right)},\ what\ is\ the\ value\ of\ y?$$

Accepted Answer

$$1$$

Answer

$$2$$

Answer

$$3$$

Answer

$$4$$

Question 19

If $$\frac{m}{3m-n}=\frac{1}{5},\ then\ \frac{n}{m}=$$ ?

Accepted Answer

$$-2$$

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$2$$

Question 20

Simplify the expression: $$-4\left(z+3\right)-4\left(5-4z\right)$$

Accepted Answer

$$12z-32$$

Answer

$$32-12z$$

Answer

$$12z+32$$

Answer

$$-12z-32$$

Question 21

If $$f\left(x ight)=2x+5\ and\ g\left(x ight)=\frac{1}{6+x},\ then\ f\left(12 ight) imes g\left(12 ight)=$$

Accepted Answer

$$\frac{29}{18}$$

Answer

$$29$$

Answer

$$\frac{1}{18}$$

Answer

$$47$$

Question 22

Number a is increased by the product of b and c. The result is divided by c and then decreased by b. Finally, that result is multiplied by c. Which of the following is the final result?

Accepted Answer

$$a$$

Answer

$$a+bc-b$$

Answer

$$\frac{a}{c}+b-c$$

Answer

$$\frac{a}{c}+b-bc$$

Question 23

If $$p abla q=\frac{2p-q}{p-2q},\ what\ is\ the\ value\ of\ 6 abla2?$$

Accepted Answer

$$5$$

Answer

$$2$$

Answer

$$3$$

Answer

$$8$$

Question 24

The formula below shows the relationship between A, the measure of each angle of a regular polygon, and n, the number of sides of a regular polygon.

$$A=\frac{180\left(n-2\right)}{n}$$

Which of the following expresses the number of sides in terms of the measure of an angle?

Accepted Answer

$$n=\frac{360}{180-A}$$

Answer

$$n=\frac{A-180}{360}$$

Answer

$$n=\frac{A}{360}-2$$

Answer

$$n=180A-\frac{1}{2}$$

Question 25

The measures of the three angles in a triangle are in the ratio 1:1:2. Which of the following must be true?

i. The triangle is isosceles

ii. The triangle is a right triangle

iii. The triangle is equilateral

Accepted Answer

i and ii only

Answer

None

Answer

i only

Answer

ii only

Question 26

If $$\frac{5}{6}x=\frac{4}{5},$$ what is the value of $$x$$ ?

Accepted Answer

$$\frac{24}{25}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{25}{24}$$

Question 27

For what value of x is $$8^{\left(2x-4\right)}=16^x\ ?$$

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 28

$$\frac{\left(\frac{6}{x}\right)}{18}$$

Which of the following is equivalent to the given expression?

Accepted Answer

$$\frac{1}{3x}$$

Answer

$$\frac{3}{x}$$

Answer

$$\frac{108}{x}$$

Answer

$$\frac{x}{12}$$

Question 29

The quotient of $$19$$ and a number $$d$$ increased by seven.

Which of the following is an expression for the statement above?

Accepted Answer

$$\frac{19}{d}+7$$

Answer

$$\frac{d}{19}+7$$

Answer

$$\frac{19+d}{7}$$

Answer

$$\frac{d+7}{19}$$

Question 30

$$11.5x+3.5y=265$$

A person used a total of 265 kilocalories (kcal) while walking and running on a treadmill. Running at a constant rate required 11.5 kcal per minute, and walking at a constant rate required 3.5 kcal per minute. The relationship between the number of minutes running, x, and the number of minutes walking, y, is given by the equation shown. If this person ran for 20 minutes, how many minutes did this person walk?

Accepted Answer

10

Answer

35

Answer

29

Answer

17

Question 31

Aaron has 3 times as much money as Josh. If Aaron should give Josh $50, Josh will then have 3 times as much money as Aaron. How much money do the two of them have altogether?

Accepted Answer

$100

Answer

$75

Answer

$125

Answer

$150

Question 32

Johnny received $$m$$ text messages on Friday, three less than twice as many text messages on Saturday than on Friday, and five more text messages on Sunday than on Saturday. What is the total number of text messages he received over the three days?

Accepted Answer

$$5m-1$$

Answer

$$4m+2$$

Answer

$$4m-2$$

Answer

$$5m+1$$

Question 33

If $$\left(\frac{2}{3}a^2b\right)^2\left(\frac{4}{3}ab\right)^{-3}=ka^mb^n,\ what\ is\ the\ value\ of\ k?$$

Accepted Answer

$$\frac{3}{16}$$

Answer

$$\frac{4}{9}$$

Answer

$$\frac{27}{64}$$

Answer

$$\frac{1}{2}$$

Question 34

Question 34.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

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