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Eleventh Grade (Grade 11) Linear Equations Questions

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Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1a

Given the table below, which lists some of the values of the function

$f(x)$ , which of the following is true, and why?

$\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$
$0$	$-4$
$2$	$2$
$4$	$8$
$6$	$14$
$8$	$20$

$f(x)$ is linear, because the difference of y-values over equal intervals is constant.
$f(x)$ is linear, because the difference of x-values is constantly 2 units.
$f(x)$ is exponential, because the ratio of y-values over equal intervals is constant.
It cannot be determined whether $f(x)$ is linear or exponential, because there are no intervals of only one unit in the table.

Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1a

Given the table below, which lists some of the values of the function

$f(x)$ , which of the following is true, and why?

$\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$
$-3$	$3/8$
$0$	$3$
$3$	$24$
$6$	$192$
$7$	$384$

The function is linear, since the difference in most x-values is 3 units.
The function is exponential, since the ratio of y-values, over equal intervals, is constant.
It cannot be determined, since the difference in x-values is not constant.
The function is neither linear nor exponential. Both the difference of y-values and the ratio of y-values are not constant for all the values presented in the table.

Grade 11 Linear Equations CCSS: HSA-CED.A.1, HSA-REI.B.3

Colton adds an 80% fruit punch mix solution to 16 ounces of solution that is 10% fruit punch mix. How much of the solution should be added to create a solution that is 50% fruit punch mix?

10.3 oz
21.3 oz
22.3 oz
12.3 oz

Grade 11 Linear Equations CCSS: HSA-CED.A.1

A city park is opening a new swimming pool. You can pay a daily entrance fee of $3 or purchase a membership for the 12-week summer season for $82 and pay only $1 per day to swim. How many days would you have to swim to make the membership worthwhile?

Grade 11 Linear Equations CCSS: HSA-REI.D.10

Determine which of the given points lies on the graph of the function 2x + 2y = 20:
(2,8) (1,6)

Grade 11 Linear Equations CCSS: HSF-IF.C.7a

$-2x+y=-3$

Grade 11 Linear Equations CCSS: HSF-IF.C.7a

$3x+4y=12$

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Eleventh Grade (Grade 11) Linear Equations Questions