Systems of Equations SBAC Practice

• True
• False

The graphs of the linear functions f and g are shown.  Enter the solution to the equation f(x) = g(x).

The graphs of two polynomials f and g of degree 2 and degree 4 are shown.

 How many solutions are there to the equation f(x) = g(x)?

Enter one of the solutions to f(x) = g(x) to the nearest 0.5.

The graph of a system of linear equations is shown below.  How many solutions does this system of equations have?

• No solutions

• Exactly two Solutions

• Exactly one solution

• An Infinite number of solutions

A store sells used and new video games. New video games cost more than used video games.  All used video games cost the same.  All new video games also cost the same.

Omar spent a total of $84 on 4 used video games and 2 new video games.  Sally spent a total of $78 on 6 used video games and 1 new video game.  Janet has $120 to spend.

Enter the number of used video games Janet can purchase after she purchases 3 new video games.

A restaurant serves a vegetarian and a chicken lunch special each day.  Each vegetarian special is the same price.  Each chicken special is the same price.  However, the price of the vegetarian special is different from the price of the chicken special.

On Thursday, the restaurant collected $467 selling 21 vegetarian specials and 40 chicken specials.

On Friday, the restaurant collected $484 selling 28 vegetarian specials and 36 chicken specials.

Enter the cost, in dollars, of the vegetarian lunch special.

A type of pasta is made of two ingredients, quinoa, and corn.  The pasta company is not disclosing the amount of each ingredient in the pasta, but we know that the quinoa in the pasta contains 16.2% protein, and the corn in the pasta contains 3.5% protein. Overall each 57-gram serving of pasta contains a total of 4 grams of protein.

How many grams of quinoa and how many grams of corn are in one serving of pasta?  Round each amount to the nearest gram.

There are ​ (a)   grams of quinoa​ and ​ (b)   grams of corn.

• 16
• 41
• 57
• 4
• 61