Put your name, the date, and the period on your paper. Students will review Semester 1 Algebra objectives and prepare for Re-Test of semester benchmark exam.

12x – 18 + 5x = 15x – 15 – 7 17x – 18 = 15x – 22 – 15x – 15x 2x – 18 = – 22 + 18 + 18 2x = – 4 2 2 x = – 2

RISE RUN RUN RISE 2 5 DOWN NEGATIVE!

V = length • width • height Each edge is 2.5 cm. The “base” (bottom) is a square. Area = length • width 2.5 • 2.5 = 6.25 cm 2 Perimeter means add all edges of the bottom… or multiply times 4. P = 2.5 • 4 = 10 cm V = length • width • height V = 2.5 • 2.5 • 2.5 V= B•h “area of the base” times height 15.625 cm 3 A cube has 6 faces… all squares! 2.5 • 2.5 • 6 = 37.5 cm 2

ADD ALL SIDES! 220 in 2 List all the sides: Area = length • width FRONT = BACK = LEFT = RIGHT = TOP = BOTTOM = Area = length • width 5 • 10 = 50 same = 50 4 • 5 = 20 same = 20 4 • 10 = 40 same = 40 ADD ALL SIDES! 220 in 2

w 4w + 20 Perimeter means… ADD all sides! 4w + 4w + w + w + 20 + 20 length = 4w + 20 4(4) + 20 16 + 20 length = 36 ft. 10w + 40 = 80 – 40 – 40 10w = 40 10 10 w = 4

+ 0.25 + 0.25 0.45x = 1.80 0.45 0.45 x = 4

Which number(s) are “greater than” 20??? – 8 – 8 5 4 5 4 To get rid of the fraction in front of x, multiply by the reciprocal on BOTH SIDES. – 16 When you multiply or divide by a negative number… REVERSE the Symbol! x > 20

Re-write the inequality with the letter first and the number last! x – 15 REVERSE THE SYMBOL!!! The symbol is NOT underlined… Draw an open dot!!! The symbol > looks like an arrow pointing to the right… Shade to the right!!!

+ 7 + 7 5n > – 15 5 5 n > – 3

Re-write with the x first. – 9 < 2x – 7 – 1 < x Re-write with the x first. x > – 1 Circle only numbers “greater than” -1. + 7 + 7 – 2 < 2x 2 2 Reverse the symbol.

( , ) – 4 3 LEFT 7 UP 8

55 + 35d = Cost 55 + 35d = f(d) 7 days Cost = 55 + 35(5) Cost = $230 –55 –55 245 = 35d 245 = 35d 35 35 7 = d 7 days

Positive – (right end goes up) ZERO – (horizontal line) Negative – (right end goes down) Undefined (vertical line)

– 3 5 y – 12 = ( x – –10) 9 – 12 – 5 – –10 – 3 5 y – 12 = x – 6 + 12 + 12 y = x + 6 OR – 3 –5 + 10 – 3 5 – 3 5 Note: If you noticed that the ordered pair ( 0 , 6 ) in the table is the y-intercept, you would not need to do all this.

y = 2560.90x + 201.77 Go to STAT USE THE CALCULATOR! Enter the data in Lists 1 & 2 Select CALC Select REG (regression) y = 2560.90x + 201.77 Select X (one power)

Negative slope… the right side is lower! THAT WAY → UP 3 LEFT 5

Walls are on the “side” only… Lateral Surface Area The carpet goes on the bottom or base of the room… The floor is a rectangle… AREA (of the base)

6x + 15y + 1 4x + x + x 2y + 5y + 8y + 6 – 5 6x + 15y + 1 Perimeter means… ADD ALL SIDES! 4x + x + x 6x 2y + 5y + 8y + 15y + 6 – 5 + 1 6x + 15y + 1

n – – 7 = – 32 n + 7 = – 32 – 7 – 7 n = – 39

Get rid of the parenthesis first! Perimeter means… ADD ALL SIDES! Get rid of the parenthesis first! 12 – 6x + 3y 5x + 3y 12 – 6x + 3y –6x – 6x + 5x + 5x – 2x + 3y + 3y + 3y + 3y + 12y + 12 + 12 + 24 – 2x + 12y + 24 These 3 answers could be written in any order…

To get y by itself the positive 3x and the – 5 need to be moved to the other side of the equation. – 3x – 3x – 5y = – 3x + 20 – 3x & 20 are NOT like terms Divide every term by – 5 – 5 – 5 – 5 3 5 x y = – 4

p > – 5 + 8p > 3p + 5p – 3p – 15 4p + 20 12p + 20 > 5p – 15 Distributive Property 4p + 20 + 8p > 3p + 5p – 3p – 15 Combine Like Terms 12p + 20 > 5p – 15 Move the variable to the left side. – 5p – 5p 7p + 20 > – 15 – 20 – 20 7p > – 35 Remember: If you divide by a negative number, reverse the symbol. 7 7 p > – 5

let s = songs 79.83 + 0.27s = 180 – 79.83 – 79.83 0.27s = 100.17 .27 .27 s = 371 songs

Driving up and down hills on a bicycle would make the speed… go up and down!

Dots in the shaded part only! Dots on the dotted line are… The symbol is not underlined… DOTTED LINE _ _ _ _ _ _ _ Dots in the shaded part only! Dots on the dotted line are… NOT Solutions! To find the y-intercept let x be 0. – 4y < 8 Look at the symbol… > means shade above. Divide by – 4 … REVERSE THE SYMBOL!!! – 4 – 4 y – 2 Use the slope to draw more points!

The graph is translated… The new y-intercept is… y-intercept (b) b = – 7 The graph is translated… 9 spaces UP! The new y-intercept is… ( 0 , 2 ) The slope… stays the same! + 9 b = + 2

0 – – 6 4 – 0 6 4 3 2 = ——— = — = — y = mx + b 3 2 y = — x – 6 x1 , y1 = ——— = — = — y = mx + b 3 2 y = — x – 6

(x + 14) x – 8