Free Printable DSST Math 1H Thursday Activity (4/16/2020)

1.

The length of a diagonal of a rectangle is $\sqrt{181}$ inches. Which statement best describes the length of the diagonal?

a)

The length is between 12 and 13 inches.

b)

The length is between 13 and 14 inches.

c)

The length is between 14 and 15 inches.

d)

The length is between 15 and 16 inches.

2.

Which is NOT a solution to the inequality $6x-5\le3+4x$ ?

a)

0

b)

4

c)

2

d)

5

3.

$-\frac{3}{4}x+\frac{1}{2}=\frac{3}{8}$

a)

$x=-\frac{1}{6}$

b)

$x=\frac{3}{32}$

c)

$x=\frac{1}{6}$

d)

$x=-\frac{3}{32}$

4.

Which of the input-output tables represent a function?

Select each correct answer.

a)

b)

c)

d)

e)

5.

a)

The y-intercept of Function A is equal to the y-intercept of Function B.

b)

The y-intercept of function A is 1 unit less than the y-intercept of Function B.

c)

The y-intercept of Function A is 1 unit greater than the y-intercept of Function B.

d)

The y-intercept of Function A is 2 units greater than the y-intercept of function B.

6.

If $\frac{5}{x}=\frac{15}{x+20},\$ what is the value of $\frac{x}{5}$ ?

a)

$10$

b)

$5$

c)

$2$

d)

$\frac{1}{2}$

7.

The line $y=kx+4$ , where $k$ is a constant, is graphed in the xy-plane. If the line contains the point $\left(c,d\right)$ , where $c\ne0$ and $d\ne0$ , what is the slope of the line in terms of $c$ and $d$ ?

a)

$\frac{d-4}{c}$

b)

$\frac{c-4}{d}$

c)

$\frac{4-d}{c}$

d)

$\frac{4-c}{d}$

8.

A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions $f$ models the remaining amount of the substance, in grams, $t$ years later?

a)

$f\left(t\right)=325\left(0.13\right)^t$

b)

$f\left(t\right)=0.87\left(325\right)^t$

c)

$f\left(t\right)=325\left(0.87\right)^t$

d)

$f\left(t\right)=0.13\left(325\right)^t$

9.

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if Type A trees produce 144 pears, how many pears did the Type B trees produce?

a)

115

b)

120

c)

124

d)

173

10.

If $y=kx$ , where $k$ is a constant, and $y=24$ when $x=6$ , what is the value of $y$ when $x=5$

a)

6

b)

15

c)

20

d)

23

11.

If $y\ne0$ , which of the following is equivalent to the expression below $\frac{15y^9}{5y^3}$

a)

$3y^3$

b)

$3y^6$

c)

$10y^3$

d)

$10y^6$

12.

What is the value of the expression below?
$\left(-2\right)^3$

a)

6

b)

-6

c)

8

d)

-8

13.

Which expression has the same value as $5^4\times5^2\times3^2\times3^3$ ?

a)

$15^{11}$

b)

$25^6\times9^5$

c)

$5^8\times3^6$

d)

$5^6\times3^5$

14.

What is the rule for raising a power to another power $\left(n^5\right)^3$ ?

a)

$n^{\left(5+3\right)}$ keep the base, add the exponents

b)

$n^{\left(5-3\right)}$ keep the base, subtract the exponents

c)

$n^{\left(5\times3\right)}$ keep the base, multiply the exponents

d)

$\left(n\times5\right)\left(n\times3\right)$ multiply each base by each exponent then multiply those products by each other

15.

$\frac{\left(4^2\right)^4}{4^3}$ Simplify:

a)

$4^4$

b)

$4^{11}$

c)

$4^3$

d)

$4^5$

16.

Which of the following expressions is equivalent to $5^{-2}$ ?

a)

$-25$

b)

$\frac{1}{25}$

c)

$25$

d)

$-\frac{1}{25}$

17.

What is the simplified form of the expression $\left(5^2\right)^{-2}\times5^3$ ?

a)

$\frac{1}{5}$

b)

$\frac{1}{5^3}$

c)

$\frac{1}{5^7}$

d)

$\frac{1}{5^{12}}$

18.

a)

$8x^5$

b)

$12x^5$

c)

$12x^6$

d)

$16x^{10}$

e)

$144x^{10}$

19.

$\left(100ab\right)^0$ Which of the following is equivalent to

a)

$0$

b)

$1$

c)

$100ab$

d)

$\frac{1}{100ab}$

e)

$-\frac{1}{100ab}$

20.

$\left(\frac{2}{3}\right)^{-3}$ is equal to which of the following?

a)

$\frac{4}{9}$

b)

$\frac{4}{27}$

c)

$\frac{8}{27}$

d)

$\frac{27}{8}$

e)

$-\frac{27}{8}$

DSST Math 1H Thursday Activity (4/16/2020)

Total questions: 20

Worksheet time: 2hrs 40mins

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