Linear Equations STAAR Review

The two lines graphed on the coordinate grid each represent an equation.
Which ordered pair represents a solution to both equations?

• ( −4, 0 )
• (-2, 1)
• ( 0,- 4 )
• (1, -2)

What value of x makes this equation true?
0 6. x − 5 = 0.1x + 7

• 4
• 14
• 24
• 6

Which situation can be represented by this equation?
340 + 5x = 650 - 8x

• Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water?
• Sierra started with savings of $340 and spends $8 of her savings every week. Brian started with savings of $650 and adds $5 to his savings every week. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of savings?
• Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day. Brian started with 650 cans of food for the food drive. He collects 8 more cans every day. What is x, the number of days that need to pass in order for Sierra and Brian to have the same number of cans of food?

Which equation can be used to describe the relationship between x and y shown in the graph below? 

• y = 3x + 2
• y = -3x - 6
• y = 3x - 6
• y = -3x + 2

Triangle DEF and triangle GHI are similar right triangles.  Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined.
• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.
• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.
• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.