Question

cut out the 12 equations & tables along the solid black line
o y = 25x + 5 | p y = 5x + 25 | q y = -5x
r y = -25x - 5 | s y = -25x | t y = 5x
u y = 25x - 5 | v y = -5x + 25 | w y = 5x - 25
x y = -5x - 25 | y y = 25x | z y = -25x + 5
1 x: 1,2,3,4; y: -30,-55,-80,-105 | 2 x: 1,2,3,4; y: 30,55,80,105 | 3 x: 1,2,3,4; y: 5,10,15,20
4 x: 1,2,3,4; y: 20,15,10,5 | 5 x: 1,2,3,4; y: 30,35,40,45 | 6 x: 1,2,3,4; y: -30,-35,-40,-45
7 x: 1,2,3,4; y: -20,-45,-70,-95 | 8 x: 1,2,3,4; y: -20,-15,-10,-5 | 9 x: 1,2,3,4; y: -25,-50,-75,-100
10 x: 1,2,3,4; y: 20,45,70,95 | 11 x: 1,2,3,4; y: -5,-10,-15,-20 | 12 x: 1,2,3,4; y: 25,50,75,100
linear equation card match
cut out the 12 word problems along the solid black line

Explanation:

Step1: Analyze Table 3

For Table 3, when \( x = 1 \), \( y = 5 \); \( x = 2 \), \( y = 10 \); \( x = 3 \), \( y = 15 \); \( x = 4 \), \( y = 20 \). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{10 - 5}{2 - 1}=5 \). The y - intercept \( b = 0 \) (since when \( x = 0 \), \( y = 0 \)). So the equation is \( y = 5x \), which matches equation T.

Step2: Analyze Table 12

For Table 12, when \( x = 1 \), \( y = 25 \); \( x = 2 \), \( y = 50 \); \( x = 3 \), \( y = 75 \); \( x = 4 \), \( y = 100 \). The slope \( m=\frac{50 - 25}{2 - 1}=25 \), y - intercept \( b = 0 \). So the equation is \( y = 25x \), which matches equation Y.

Step3: Analyze Table 9

For Table 9, when \( x = 1 \), \( y=- 25 \); \( x = 2 \), \( y=-50 \); \( x = 3 \), \( y = - 75 \); \( x = 4 \), \( y=-100 \). The slope \( m=\frac{-50+25}{2 - 1}=-25 \), y - intercept \( b = 0 \). So the equation is \( y=-25x \), which matches equation S.

Step4: Analyze Table 3 (re - check)

As before, the pattern in Table 3 is \( y = 5x \), so it pairs with T (\( y = 5x \)).

Step5: Analyze Table 12 (re - check)

The pattern in Table 12 is \( y = 25x \), so it pairs with Y (\( y = 25x \)).

Step6: Analyze Table 9 (re - check)

The pattern in Table 9 is \( y=-25x \), so it pairs with S (\( y=-25x \)).

Answer:

Table 3 pairs with T (\( y = 5x \)), Table 12 pairs with Y (\( y = 25x \)), Table 9 pairs with S (\( y=-25x \))