[3] MOCK MATH WEST 2021 | WIUT

The graph of is shown. If the  $y=2x^2+10x+12$  graph crosses the y -axis at the point (0, k) , what is the
value of k ?

• 2

• 6

• 10

• 12

 $−3x+y=6$ 
 $ax+2y=4$ 
In the system of equations above,  $a$ is a constant. For which of the following values of  $a$ does the system have no solution?

• -6

• -3

• 3

• 6

 $\left|2x+1\right|=5$ 

If  a and b are the solutions to the equation above, what is the value of |a-b|?

The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week than Jeremy?

• $200

• $100

• $50

• $25

In 2015 the populations of City X and City Y were equal. From 2010 to 2015, the population of City X increased by 20% and the population of City Y decreased by 10%. If the population of City X was 120,000 in 2010, what was the population of City Y in 2010?

• 60,000

• 90,000

• 160,000

• 240,000

 $f(x)=(x+3)(x−k)$ 
T he function f is defined above. If k is a positiveinteger, which of the following could represent thegraph of y = f (x) in the xy-plane?

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The circle above has center O, the length of arc ADC is 5π, and x = 100. What is the length of arc ABC ?

• 9π

• 13π

• 18π

• 13π/2

A system of three equations is graphed in the xy-plane above. How many solutions does the system have?

• None

• One

• Two

• Three

The graph of the function f in the xy-plane above is a parabola. Which of the following defines f ?

• $f(x)=4(x−3)^2+1$

• $f(x)=4(x+3)^2+1$

• $f(x)=(x−3)^2+1$

• $f(x)=3(x+3)^2+1$

 $y≥x+2$ 
 $2x+3y≤6$ 
In which of the following does the shaded region represent the solutionset in the xy-plane to the system of inequalities above?
 

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