Systems of Linear Eq.
Inequalities
Word Problems
Miscellaneous
100

To solve the following system of equations by eliminating x, a first step would be to...

Eq. 1: 3x + 2y = -1

Eq. 2: -x + 5y = 8

What is multiply the first equation by 1/3?

or

What is multiply the second equation by 3?

100

The solution set for x in the following inequality is...


3x - 3 > 6


What are all values of x greater, but not equal to 3?

100

The sum of two numbers is 238. Their difference is 48. The two numbers are…



What is 95 and 143?

100

Of the following list, the number that is a perfect square is…

6, 14, 21, 25


What is 25?

200

The solution to the following system is...


y = -3x + 10

y = 2x + 5


What is the xy-coordinate (1, 7)?

200

Given the following inequality, the line that we graph will be dashed or solid...

y>-5x +3


What is dashed?

200

A hospital food service can serve at most 1000 meals per day. Patients on a normal diet receive 3 meals per day and patients on a special diet receive 4 meals per day. A linear inequality that describes the number of patients that can be served per day is…



What is 3x + 4y <=1000?

200

The GCF of the following binomial is…


6xy + 8y2


What is 2y?

300

If we solve for y in Eq. 1 and substitute this expression in for y in Eq. 2, the equation to be solved becomes...

Eq. 1: 3x + y = 5

Eq. 2: -2x - y = -4


What is -2x -(-3x + 5) = - 4?

300

The following work contains an error when solving the inequality for y. The error is...

6x - 3y > 9

-3y > 9 - 6x

y > -3 + 2x

What is the wrong inequality symbol?

or

What is flipping the sign?

300

A student at Ridgewood wants to start selling bracelets and necklaces to make money for a summer vacation. The bracelets cost $2 and the necklaces cost $3. She needs to make at least $500. A two variable inequality that models this situation is…




What is 2x + 3y >= 500?

300

By factoring out the GCF, the factored form of the following trinomial is…

8x3y2 +18xy5 + 24x2y4

What is 2xy2(4x2 +9y3 +12y2)?

400

The number of solutions to the following system is...

Eq. 1: 4x + 2y = 8

Eq. 2: -2x - y = -4


What is infinite solutions?

400

An example of a solution to the following inequality is...

-2x + 7y < 1


What is the xy-coordinate (4, 1)?


Note: Answers may vary

400

Mr. Earl’s flight to San Diego traveled with a tailwind at an average of 885 km/h. On the return trip to Chicago the airplane only averaged 775 km/h due to similar wind systems blowing against the plane. The approximate speed of the wind and the speed of the airplane in still air are...


What is 830 km/h and 55 km/h?

What is 830 km/h and 55 km/h?

400

The factored form of the following quadratic is…


2x+ 5x + 3

What is (2x +3)(x+1) ?

500

An example of two linear equations whose one solution is (0,0) is...


What is y = x and y = 3x?


Note: Answers may vary

500

Mr. Earl will show you the graph of an inequality on GeoGebra. The equation of the inequality represented by the graph is...

What is y > 2x - 1?

500

Ridgewood sells its own merchandise as you all may already know. Well, suppose the school’s top selling products were the Nike SS Core Cotton T-shirt and the UA Rival Polo. The T-shirt costs $21.99 and the Polo costs $46.99 each, respectively. Suppose the school sold $636.79 throughout this past weekend. The total number of items that were sold is 21, so the number of T-shirts and Polos sold, respectively, are…



What is 14 T-shirts and 7 Polos?

500

The factored form of the following quadratic is…


x2 - 4

What is (x+2)(x-2)?

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