Algebra 2 Part 2 - Diagnostic Test

The total cost c of buying b cans of beans can be found

using the equation c= $0.79b. What is represented by

the dependent variable?

• The total cost of b cans

• The cost of 1 can

• The number of cans purchased

• he number of cans that can be purchased for $0.79

Which is an equation of the line that has a slope of 

 $\frac{1}{2}$  and passes through the point (3, 21)?

•  $x+2y=1$  

•  $x+2y=-1$  

•  $x-2y=5$  

•  $x-2y=8$  

A certain oak tree is 12 feet taller than a certain pine tree. If the pine tree is p feet tall, which expression represents the height of the oak tree?

• $12+p$

• $12-p$

• $p-12$

• $12p$

Simplify the expression  $4(2x-1)-3(x+5).$  

•  $3x-19$  

•  $5x-16$  

•  $5x-19$  

•  $9x-2$  

The table shows the sum of the interior angle measures of certain polygons. According to the information in the table, which is the best prediction of the sum of the interior angle measures in an 11-gon?

• $900\degree$

• $1260\degree$

• $1440\degree$

• $1620\degree$

Which shows the graph of  $y=x^{2\ }?$  

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What is the slope of a line that passes through (4, -1) and (2, 9)?

• $\frac{3}{7}$

• $-\frac{5}{7}$

• $-5$

• $-4$

What is the x-intercept of the graph of   $3x-4y=12?$  

•  $-4$  

•  $-3$  

•  $3$  

•  $4$  

 

What is the range of the function   $f\left(x\right)\ =\ x^2+6x+9?$  

• all real numbers

• all real numbers greater than or equal to 0

• all real numbers greater than or equal to 3

• all real numbers greater than or equal to 9

The sum of two numbers is 27. The larger number is 6 more than twice the smaller number. Which system of equations can be used to find the two numbers?

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