Algebra and Modeling - Week 2

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of

  $f\left(a\right)$ and $g\left(x\right)$ can be represented by the expression $a^2+a-2$ .

• The difference of $f\left(a\right)$ and $g\left(a\right)$ can be represented by the expression $a^2+a-12$ .

• The product of $f\left(a\right)$ and $g\left(a\right)$ can be represented by the expression $-a^3+3a^2+17a-35$ .

Liam is saving up for a new cell phone. He uses the equation  $P=I+HB$ , where  $P$  is the cost of the phone,  $I$  is the amount of money he started with,  $H$ is the number of hours he babysits, and  $B$  is his hourly rate for babysitting. Which expression is equal to  $H$ , the number of hours Liam will need to babysit to save enough money for a cell phone?

•  $\frac{B}{P-I}$  

•  $\frac{P-I}{B}$  

•  $\frac{PB}{I}$  

•  $\frac{PI}{B}$  

Which of the following is the graph of  $2c-5\ge3$ ?

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Lisette is saving money to buy a car. She has $972 already and adds $20 per week from her part time job. Which of the following equations represents this situation if  $y$  represents the total amount of money that Lisette has saved?

•  $y=20x+972$  

•  $y=20x-972$  

•  $y=-20x-972$  

•  $y=-20x+972$  

• Since it lies on the graph of the line, the point $\left(a,b\right)$ is a solution to the equation $y=-3x+1$ .

• Since it does not lie on the graph of the line, the point $\left(c,d\right)$ is not a solution of the equation $y=-3x+1$ .

• Since $a=c$ , both points $\left(a,\ b\right)$ and $\left(c,\ d\right)$ are solutions to the equation $y=-3x+1$ .

• The point $\left(\frac{3}{2},\frac{-7}{2}\right)$ lies on the graph of the line that represents the equation $y=-3x+1$ .

• The graph of the line represents all the solutions to the equation $y=-3x+1$ .

Which of the following graphs represents the inequality  $y<2x+7$ ?

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Which statement is true about Ken's method?

• Ken made a mistake between Steps 3 and 4.

• Ken made a mistake between Steps 2 and 3.

• Ken made a mistake between Steps 1 and 2.

• Ken solved the equation correctly.

Select all of the following values that are solutions of the equation  $5x^2-2x-8=1$ . 

•  $-1$  

•  $\frac{1}{5}$  

•  $\frac{7}{5}$  

•  $\frac{1+\sqrt{46}}{5}$  

•  $\frac{1-\sqrt{46}}{5}$  

• $(–1.6,\ 0.2)$

• $(0,\ –1)$

• $(0.2,\ –1.6)$

• $(0.5,\ –2)$

• $x+4y=-3$

• $x\ –\ 4y=-3$

• $x+4y=3$

• $x\ –\ 4y=3$