Algebra Winter Benchmark

What is the solution of the equation:
 2x + 9 = 6x – 7

• x = 2

• x = 3

• x = 4

• x = 5

Solve the following equation:
10x – 2x – 5 = 19

• x = 3

• x = 24

• x = 8

• 8x = 24 

Solve the following equation:
5n + 34 = −2(1 − 7n) 

• n = 4

• n = 5

• n = 6

• n = 7

Which operation should be performed first to solve the inequality below?
–4x + 7 ≤ 23

• Add 4 to both sides

• Divide by -4 on both sides 

• Subtract 7 on both sides

• Subtract 23 on both sides

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Gerardo wrote an integer. The opposite of Gerardo's integer is -53. The two true statements are:

​ (a)   and ​ (b)  

• The integer is 53.

• The integer has an absolute value of 53.

• The integer has an absolute value of -53.

• The integer is -53.

Tags

6.2.B

​ ​ (a)   a number finds the product of that number and itself.

• Squaring

• Square Rooting

A company sold a total of 150 adult and child tickets to a fundraiser. The company charged $10 for each adult ticket and $6 for each child ticket for $350.

Write an equation to represent the total amount of tickets.

Mathematical Equivalence

ON

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

The sentence, 3 less than the product of 4 and a number is greater than 5 times the number, translates to which mathematical statement?

• 3 < 4n > 5n

• 4n - 3 > 5n

• 3 - 4n > 5n

• 4n - 3 > 5