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Eleventh Grade (Grade 11) Exponents Questions

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Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

If an initial investment of $5,000 earns 6% interest compounded monthly, what is the function to model this situation?

$A(t)=5000(1+0.06/12)^(12t$
$A(t)=5000(1-0.06/12)^(12t$
$A(t)=5000(1+0.6)^(12t$
$A(t)=5000(1+0.06/6)^(12t$

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

For the function

$f(x) = 10 (1.05)^x$ , what is the percent rate of change? Also, is this exponential growth or decay?

5%, growth
5%, decay
10%, growth
10%, decay

Grade 11 Exponents

Solve.

$5^(3x-1)*5^(2x-5)=5^(x+6)$

$x = 0$
$x = 1/5$
$x = 2$
$x = 3$

Grade 11 Exponents

Simplify.

$(2x)^4/(2x^4)$

$8, \ x!=0$
$4$
$2, \ x!=0$
$1$

Grade 11 Exponents CCSS: HSF-IF.C.8b

For the function

$g(x) = 13*(0.92)^x$ , what is the percent rate of change? Also, is this exponential growth or decay?

8%, growth
8%, decay
13%, growth
13%, decay

Grade 11 Exponents

Solve.

$64^x=8^(3x+1)$

$x = 1$
$x = -1$
$x = 1/5$
$x = -1/5$

Grade 11 Exponents CCSS: HSN-RN.A.2

Evaluate.

$(1/27)^(-2/3)$

-3
9
$1/3$
$-1/9$

Grade 11 Exponents CCSS: HSF-LE.B.5

Sally invests some money in a savings account that has compound interest, compounded yearly. If she can track how much money she will have after

$t$ years by the function

$A(t) = 3000(1.021)^t$ , what is the interest rate?

102.1%
30%
2.1%
1.021 %

Grade 11 Exponents CCSS: HSN-RN.A.2

Simplify. Assume

$x$ and

$y$ are positive.

$(x^2y)/(x^(3/4)y^(1/3)$

$x^(5/4)y^(2/3)$
$x^(11/14)y^(4/3)$
$x^(3/2)y^(1/3)$
$x^(1/2)y^(1/3)$

Grade 11 Exponents CCSS: HSN-RN.A.2

Evaluate.

$81^(3/4)$

Grade 11 Exponents CCSS: HSF-LE.A.2

What is the equation of the exponential function in the following graph? Assume that the scale of both axes is one unit.

$f(x) = 2^x$
$f(x) = 2^x + 3$
$f(x) = 5^x$
$f(x) = 10^x - 5$

Grade 11 Exponents

Solve for

$x$ .

$3^(2x) = 27^(4)$

$6$
$7/2$
$32$
$4$

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Simplify

$f(x)=(5^2)^t⋅(25^(-t))$ , and identify whether the function represents growth or decay.

Exponential growth
Exponential decay
Constant function
Linear growth

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Simplify

$f(x)=(3^x)(9^x)$ , and determine the rate of change.

9%, decay
900%, growth
1200%, growth
200%, growth

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Given the compound interest function

$A(t)=2000(1+0.03/4)^(4t$ , what is the interest rate, and how often is it compounded?

3%, quarterly
12%, annually
3%, annually
4%, quarterly

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Identify the percent rate of change and whether the function

$y=(1.5)^t$ represents growth or decay.

50%, growth
50%, decay
5%, growth
5%, decay

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

The function

$y=(1.2)^(t/10$ represents exponential growth or decay? What is the percent rate of change?

20%, growth
2%, growth
1.2%, decay
0.12%, growth

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

An investment of $2,500 is placed in an account offering 7% interest compounded quarterly. What is the total value of the investment after 3 years?

$3,060.43
$3,100.65
$3,078.60
$3,200.40

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Given two accounts: one with 6% interest compounded annually, and another with 6% interest compounded semi-annually, which account has the higher effective rate of change?

Account I (annually)
Account II (semi-annually)
Both have the same rate
Cannot be determined

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Given

$y=(0.99)^t$ , is the function representing growth or decay? What is the percent rate of change?

1%, decay
1%, growth
0.1%, growth
0.01%, decay

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Eleventh Grade (Grade 11) Exponents Questions