Desmos
Equivalent
Solve for x
Systems of Inequalities
Word Problems
100

How do you type x3 into Desmos?

type SHIFT ^ 

or use the abutton

100

The expression (3x2 + 4x - 8) + 2(11 - 5x) is equivalent to


equivalent to 

1) 3x2 - x + 5 

2) 3x2 - x + 14 

3) 3x2 - 6x + 14 

4) 3x2 + 14x + 14  

#3

100

The solution to 3(x - 8) + 4x = 8x + 4

x = -28

100

Is (1,1) in the solution of?

y + x > 2 

y ≤ 3x − 2

No because it is on the dashed line

100

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the same restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations

1P + 2S = 15.95

3P + 5S = 45.90

200

How do you put a table into desmos?

Top left "plus" button

200

The expression -2(x2 - 2x + 1) + (3x2 + 3x - 5) is equivalent to 

1) x2 + x - 4 

2) x2 - x - 7 

3) x2 + 7x - 4 

4) x2 + 7x - 7

#4

200

Which value of x satisfies the equation 5/6 (3/8 - x) = 16 

x = -18.825

200

Which ordered pair is not in the solution set of 

y >− 1/2 x + 5 and y ≤ 3x − 2?

1) (5,3) 

2) (4,3) 

3) (3,4) 

4) (4,4)  

(4,3) because it is on the dashed line

200

Alicia purchased H half-gallons of ice cream for $3.50 each and P packages of ice cream cones for $2.50 each. She purchased 14 items and spent $43. Write a system of equations that could be used to determine how many of each item Alicia purchased.

3.50 H + 2.50 P = 43

H + P = 14

300

What value do you look for when the question asks for correlation coefficient?

use the R value, not the R2

300

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

1) -2g - 1 

2) -2g - 5 

3) -2g - 7 

4) -2g - 11  

#4

300

What is the solution to −3(x − 6) > 2x − 2

x < 4

300

Which point is a solution to the system below? 

2y <−12x + 4 

y <−6x + 4


1) (1, 1/2) 

2) (0,6) 

3) (−1/2 ,5)

4) (−3,2)  

(-3, 2) because it is in the double shaded area 

300

Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, write a system of inequalities to model the scenario. 

1.75 A + 2.50 P = 337.50

A + P = 165

400

How do you find the equation for a linear regression once you type the table in?

Click on the line button that pops up on the left

400

The sum of (x + 7)2 and (x - 3)2 is

1) 2x2 + 58 

2) 2x4 + 58 

3) 2x2 + 8x + 58 

4) 2x4 + 8x2 + 58  

#3

400

What is the solution to 2m− 4 ≤ 3(2m + 4) 

m ≥ -4

400

Graph the following system of inequalities on the set of axes below: −2y < 3x + 12 

x ≥−3


Is (-5, 5) is a solution to this system  

No, because it is only in the shading (solution) of one line

400

In May, she saw 2 matinees and 3 regular-priced shows and spent $38.50. In June, she went to 6 matinees and one regular-priced show and spent $47.50. Write a system of equations to represent the cost, m, of a matinee ticket and the cost, r, of a regular-priced ticket.

2M + 3R = 38.50

6M + 1R = 47.50

500

How do you type a square root in the caculator?

Open the keyboard and look for 

500

The expression x2 - 26x - 120 is equivalent to 

1) (x + 4)(x - 30) 

2) (x - 4)(x + 30) 

3) (x - 20)(x + 6) 

4) (x + 20)(x - 6)

#1

500

Solve: 

− 2/5 x ≥ 1/3 x + 11

x ≤ −15

500

Given: 3y − 9 ≤ 12

y <−2x − 4


State the coordinates of a point that satisfies both inequalities

(many answers)

500

Dylan has a bank that sorts coins as they are dropped into it.  The bank shows 90 coins with a value of $17.55 inside of the bank. If Dylan only collects dimes and quarters, write a system of equations in two variables or an equation in one variable that could be used to model this situation

D + Q = 90

0.10D + 0.25Q = 17.55

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